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| 1 | Some characteristics and evolution of the internal soliton in the northern South China Sea显示文摘Based on the observational data of an internal soliton in the northern South China Sea (SCS) on June 14, 1998, the possible source of the internal soliton is analyzed, and some of its characteristic parameters such as phase speed, wave length, etc. are computed. Based on the analyses of the vertical modes of the internal wave, the characteristics of the wave-induced current during the propagation of the internal soliton are studied. A regularized long wave (RLW) equation numerical model considering effects of multi-fac-tors is employed, and the observed environmental parame-ters are used as the initial conditions to simulate the propa-gation and evolution of the internal soliton in the continental shelf of the northern SCS. | Cai, SQ Gan, ZJ Long, XM | 2002 | Chinese Science Bulletin2002，47，1： | 23 |
| 2 | THE SIMULATION OF THE SAR IMAGE OF INTERNAL SOLITARY WAVES IN ALBORAN SEA显示文摘SAR imaging mechanism of internal wave is studied. The numerical modelling of internal waves is obtained by the two level scheme. The simulaed SAR images that have better expressed the features of internal waves are given by the internal waves SAR imaging theory and numerical modelling result. | Meng Jun min Ocean University of Qingdao, Qingdao 266003, China Zhang Zi li, Zhao Jun sheng First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China Zhang Jie Key Laboratory of Marine Science and Numerical Modelling, | 2001 | Journal of Hydrodynamics2001，13，3： | 16 |
| 3 | Soliton bursts and deterministic dissipative Kerr soliton generation in auxiliary-assisted microcavities显示文摘Dissipative Kerr solitons in resonant frequency combs offer a promising route for ultrafast mode-locking,precision spectroscopy and time-frequency standards.The dynamics for the dissipative soliton generation,however,are intrinsically intertwined with thermal nonlinearities,limiting the soliton generation parameter map and statistical success probabilities of the solitary state.Here,via use of an auxiliary laser heating approach to suppress thermal dragging dynamics in dissipative soliton comb formation,we demonstrate stable Kerr soliton singlet formation and soliton bursts.First,we access a new soliton existence range with an inverse-sloped Kerr soliton evolution—diminishing soliton energy with increasing pump detuning.Second,we achieve deterministic transitions from Turinglike comb patterns directly into the dissipative Kerr soliton singlet pulse bypassing the chaotic states.This is achieved by avoiding subcomb overlaps at lower pump power,with near-identical singlet soliton comb generation over twenty instances.Third,with the red-detuned pump entrance route enabled,we uncover unique spontaneous soliton bursts in the direct formation of low-noise optical frequency combs from continuum background noise.The burst dynamics are due to the rapid entry and mutual attraction of the pump laser into the cavity mode,aided by the auxiliary laser and matching well with our numerical simulations.Enabled by the auxiliary-assisted frequency comb dynamics,we demonstrate an application of automatic soliton comb recovery and long-term stabilization against strong external perturbations.Our findings hold potential to expand the parameter space for ultrafast nonlinear dynamics and precision optical frequency comb stabilization. | Heng Zhou Yong Geng Wenwen Cui Shu-Wei Huang Qiang Zhou Kun Qiu Chee Wei Wong | 2019 | Light(Science & Applications)2019，8，1： | 16 |
| 4 | DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ-LADIK EIGENVALUE PROBLEM显示文摘§1. Introduction Darboux transformation is successfully used by some authors to solve quite a few soliton equations in recent years. In this paper, we are going to use this approach to the study of some kind of discrete soliton equations. Consider the discrete Ablowitz-Ladik eigenvalue problem with four potentials: | 耿献国 | 1989 | Acta Mathematica Scientia1989，9，1： | 8 |
| 5 | “Periodic”soliton explosions in a dual-wavelength mode-locked Yb-doped fiber laser显示文摘We report the'periodic'soliton explosions induced by intracavity soliton collisions in a dual-wavelength modelocked Yb-doped fiber laser.Owing to the different group velocities of the two wavelengths,the mode-locked solitons centered at different wavelengths would periodically collide with each other.By using the dispersive Fourier transformation technique,it was found that each collision would induce soliton explosions,but none of them would be identical.Therefore,this phenomenon was termed as'periodic'soliton explosions.In addition,the dissipative rogue waves were detected in the dual-wavelength mode-locked state.The experimental results would be fruitful to the communities interested in soliton dynamics and dual-comb lasers. | MENG LIU TI-JIAN LI AI-PING LUO WEN-CHENG XU ZHI-CHAO LUO | 2020 | Photonics Research2020，8，3： | 8 |
| 6 | Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation显示文摘The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks. | ZHANG Jie-Fang HUANG Wen-Hua ZHENG Chun-Long | 2002 | Communications in Theoretical Physics2002，，11： | 8 |
| 7 | Long-distance ranging with high precision using a soliton microcomb显示文摘Laser-based light detection and ranging(lidar)plays a significant role in both scientific and industrial areas.However,it is difficult for existing lidars to achieve high speed,high precision,and long distance simultaneously.Here,we demonstrate a high-performance lidar based on a chip-scaled soliton microcomb(SMC)that can realize all three specialties simultaneously.Aided by the excellent properties of ultrahigh repetition rate and the smooth envelope of the SMC,traditional optical frequency comb(OFC)-based dispersive interferometry is heavily improved and the measuring dead zone induced by the mismatch between the repetition rate of the OFC and resolution of the optical spectrum analyzer is totally eliminated.Combined with an auxiliary dual-frequency phase-modulated laser range finder,the none-dead-zone measurable range ambiguity is extended up to 1500 m.The proposed SMC lidar is experimentally implemented in both indoor and outdoor environment.In the outdoor baseline field,real-time,high-speed(up to 35 k Hz)measurement of a long distance of^1179 m is achieved with a minimum Allan deviation of 5.6μm at an average time of 0.2 ms(27 nm at an average time of 1.8 s after high-pass filtering).The present SMC lidar approaches a compact,fast,high-precision,and none-dead zone long-distance ranging system,aimed at emerging applications of frontier basic scientific research and advances in industrial manufacturing. | JINDONG WANG ZHIZHOU LU WEIQIANG WANG FUMIN ZHANG JIAWEI CHEN YANG WANG JIHUI ZHENG SAI T.CHU WEI ZHAO BRENT E.LITTLE XINGHUA QU WENFU ZHANG | 2020 | Photonics Research2020，8，12： | 8 |
| 8 | Frequency stabilization and tuning of breathing solitons in Si3N4 microresonators显示文摘Dissipative Kerr solitons offer broadband coherent and low-noise frequency combs and stable temporal pulse trains,having shown great potential applications in spectroscopy,communications,and metrology.Breathing solitons are a particular kind of dissipative Kerr soliton in which the pulse duration and peak intensity show periodic oscillation.Here we have investigated the breathing dissipative Kerr solitons in silicon nitride(Si3N4)microrings,while the breathing period shows uncertainties of around megahertz(MHz)order in both simulation and experiments.This instability is the main obstacle for future applications.By applying a modulated signal to the pump laser,the breathing frequency can be injection locked to the modulation frequency and tuned over tens of MHz with frequency noise significantly suppressed.Our demonstration offers an alternative knob for the control of soliton dynamics in microresonators and paves a new avenue towards practical applications of breathing solitons. | SHUAI WAN RUI NIU ZHENG-YU WANG JIN-LAN PENG MING LI JIN LI GUANG-CAN GUO CHANG-LING ZOU CHUN-HUA DONG | 2020 | Photonics Research2020，8，8： | 8 |
| 9 | Dynamical understanding of loop soliton solution for several nonlinear wave equations显示文摘It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution. | Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China | 2007 | Science China Mathematics2007，50，6： | 6 |
| 10 | Directly accessing octave-spanning dissipative Kerr soliton frequency combs in an AlN microresonator显示文摘Self-referenced dissipative Kerr solitons (DKSs) based on optical microresonators offer prominent characteristics allowing for various applications from precision measurement to astronomical spectrometer calibration. To date,direct octave-spanning DKS generation has been achieved only in ultrahigh-Q silicon nitride microresonators under optimized laser tuning speed or bi-directional tuning. Here we propose a simple method to easily access the octave-spanning DKS in an aluminum nitride (AlN) microresonator. In the design,two modes that belong to different families but with the same polarization are nearly degenerate and act as a pump and an auxiliary resonance,respectively. The presence of the auxiliary resonance can balance the thermal dragging effect,crucially simplifying the DKS generation with a single pump and leading to an enhanced soliton access window. We experimentally demonstrate the long-lived DKS operation with a record single-soliton step (10.4 GHz or83 pm) and an octave-spanning bandwidth (1100–2300 nm) through adiabatic pump tuning. Our scheme also allows for direct creation of the DKS state with high probability and without elaborate wavelength or power schemes being required to stabilize the soliton behavior. | HAIZHONG WENG JIA LIU ADNAN ALI AFRIDI JING LI JIANGNAN DAI XIANG MA YI ZHANG QIAOYIN LU JOHN F.DONEGAN WEIHUA GUO | 2021 | Photonics Research2021，9，7： | 6 |
| 11 | THEORETICAL AMPLITUDE AND PERIOD OF PRECURSOR SOLITON GENERATION IN TWO-LAYER FLOW显示文摘An fKdV equation of two-layer flow and an averaged fKdV equation(AfKdV equation)with respect to phase are derived to determine the theoreticalamplitude and period of the precursor solitons in the present paper.In terms ofthe AfKdV equation derived by the authors,a new theory on the precursor solitongeneration based on Lee et al.’s concept is presented.Concepts of asymptotic meanhydraulic fall and level are introduced in our analysis,and the theoretical amplitudeand period both depend on the asymptotic mean levels and stratified parameters.From the present theoretical results,it is obtained that when the moving velocityof the topography is at the resonant points,there exist two general relations:(1)amplitude relation (?)=2F,(2)period relation(?)=-8m1m3-16m4m3-11/2.F,in which(?)and (?)are the amplitude and period of the precursor solitons at the resonantpoints respectively,m1,m3 and m4 are coefficients of the fKdV equation,and F isan asymptotic mean half-hydraulic fall at subcritical cutoff points.The theoreticalresults of this paper are compared with experiments and numerical calculations of two-layer flow over a semicircular topography and all these results are in good agreement.Due to the canonical character of the coefficients of fKdV equations,this theory alsoholds for any two-dimensional system,which can be reduced to fKdV equations. | 徐肇廷 田纪伟 Samuel Shan-pu Shen | 1996 | Acta Mechanica Sinica1996，12，4： | 5 |
| 12 | Abundant Multisoliton Structures of the Generalized Nizhnik-Novikov-Veselov Equation显示文摘Using the extended homogenous balance method, we obtainabundant exact solution structures ofa (2+1)dimensional integrable model, the generalized Nizhnik-Novikov-Veselov equation. By means of the leading order termanalysis, the nonlinear transformations of generalized Nizhnik-Novikov-Veselov equation are given first, and then somespecial types of single solitary wave solution and the multisoliton solutions are constructed. | ZHANG Jie-Fang CHEN Feng-Juan | 2002 | Communications in Theoretical Physics2002，，10： | 4 |
| 13 | N SOLITON SOLUTION FOR A CLASS OF THE SYSTEM OF LS NONLINEAR WAVE INTERACTION显示文摘In this note,the explicit form of the N soliton solutions for a class of the system of LS nonlinear wave interaction have been obtained by using Hirota's method. | GUO Boling PAN Xiude | 1990 | Chinese Physics Letters1990，7，6： | 4 |
| 14 | MOVING VELOCITIES OF PRECURSOR SOLITON GENERATION IN TWO-LAYER FLOW显示文摘Based on the AfKdV equation of Xu et al.,a theory on the veloci-ties of the precursor soliton generation in two-layer flow over topography is presentedin the present paper.Moving velocities of precursor solitons,of the first zero-crossingof the tailing wavetrain and of the flow behind the topography are found theoretically.It is shown that for a given topography,when its moving velocities are at the resonantpoints,we have the following rules:the ratio of the moving velocity of the precursorsolitons to that of the first zero-crossing of the tailing wavetrain equals-4/3.At thesame time,the ratio of the width of generating region of the precursor solitons to thatof the depressed water region equals also -4/3.The theoretical results are examinedby means of numerical calculation.The comparison between the theoretical and nu-merical results are found in good agreement.For different stratified parameters oftwo-layer flow,the velocities of the precursor soliton generation are also predicted interms of the present theoretical results. | 徐肇廷 徐昱 | 1998 | Acta Mechanica Sinica1998，14，4： | 4 |
| 15 | Investigation of soliton solutions with different wave structures to the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation显示文摘The principal objective of this article is to construct new and further exact soliton solutions of the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets and explains their ordering in ferromagnetic materials.These solutions are exerted via the new extended FAN sub-equation method.We successfully obtain dark,bright,combined bright-dark,combined dark-singular,periodic,periodic singular,and elliptic wave solutions to this equation which are interesting classes of nonlinear excitation presenting spin dynamics in classical and semi-classical continuum Heisenberg systems.3D figures are illustrated under an appropriate selection of parameters.The applied technique is suitable to be used in gaining the exact solutions of most nonlinear partial/fractional differential equations which appear in complex phenomena. | M S Osman K U Tariq Ahmet Bekir A Elmoasry Nasser S Elazab M Younis Mahmoud Abdel-Aty | 2020 | Communications in Theoretical Physics2020，72，3： | 4 |
| 16 | Physical universals in problem of precursor soliton generation显示文摘Six physical universals and two general relations in the problem of locally forced precursor soliton generation are found theoretically in terms of the AfKdV equation derived by authors. These six universals and two general relations are examined by experiment and numerical calculation of two-layer flow based on the canonical character of the coefficients of the fKdV equations. From comparisons among the theoretical, numerical and experimental results, it is shown that they are in good agreement. There is not any free parameter in this theory, so the theory of the present paper can be used to predict the wave properties of locally forced precursor soliton generation. | 徐肇廷 Samuel Shan-pn SHEN | 1997 | Science China Earth Sciences1997，40，3： | 4 |
| 17 | Evolution of solitons of nonlinear Schrodinger equation with variable parameters显示文摘The nonlinear Schrodinger equation with variable parameters is solved by means of variational technique.A set of evolution equations for the solitary-wave solution is derived.The propagation properties of the solitons in an adiabatic amplification system and in a dispersion-decreasing fiber are analyzed.An explicit analytical approximate soliton solution in the exponentially dispersion-decreasing fiber is obtained using the derived dynamical equations. | 文双春 徐文成 郭旗 刘颂豪 | 1997 | Science China Mathematics1997，40，12： | 4 |
| 18 | Breathing dissipative soliton explosions in a bidirectional ultrafast fiber laser显示文摘Soliton explosions,among the most exotic dynamics,have been extensively studied on parameter invariant stationary solitons.However,the explosion dynamics are still largcly unexplored in breathing dissipative solitons as a dynamic solution to many nonlincar systems.Here,we report on the first observation of a breathing dissipative soliton explosion in a nct-normal-dispersion bidirectional ultrafast fiber lascr.The breathing soliton explos ionscould be stimulated by the soliton buildup process or alteration of polarization settings.Transient breathing soliton pairs with intensive repulsion that is sensitive to initial conditions can also be triggered by multiple soliton explosions in the soliton buildup process instead of being triggered by varying polarization settings.The high bchavior similarity also exists in the breathing soliton buildup and explosion process owing to the common gain and loss modulation.In addition,dissipative rogue waves were detected in the breathing soliton explosion,and the collision of breathing soliton significantly enhanced the amplitude of rogue waves,which is characteristic of the breathing solitons in a bidirectional fiber laser.These results shed new insights into complex dissipative soliton dynamics. | YI ZHOU YU-XUAN REN JIAWEI SHI KENNETH K.Y.WONG | 2020 | Photonics Research2020，8，10： | 4 |
| 19 | 1.7-μm dissipative soliton Tm-doped fiber laser显示文摘We report on the dissipative soliton generation in a 1.7-μm net-normal dispersion Tm-doped fiber laser by nonlinear polarization rotation technique. An intra-cavity bandpass filter was employed to suppress the longwavelength emission, while the cavity dispersion was compensated by a segment of ultrahigh numerical aperture(UHNA4) fiber. The dissipative soliton with a central wavelength of 1746 nm was obtained, covering a spectral range from 1737 nm to 1754 nm. The de-chirped duration and energy of the dissipative soliton were 370 fs and 0.2 nJ, respectively. In addition, the dynamics of multiple dissipative solitons were also investigated. Through optimization of the cavity dispersion, the 50 nm broadband dissipative soliton with de-chirped pulse duration of 230 fs could be achieved. The development of dissipative soliton seed laser represents the first step in achieving the chirped pulse amplification system at the 1.7-μm wave band, which would find potential applications in fields such as biomedical imaging and material processing. | JI-XIANG CHEN XIANG-YUE LI TI-JIAN LI ZE-YU ZHAN MENG LIU CAN LI AI-PING LUO PU ZHOU KENNETH K-YWONG WEN-CHENG XU ZHI-CHAO LUO | 2021 | Photonics Research2021，9，5： | 4 |
| 20 | Real-time dynamics of soliton triplets in fiber lasers显示文摘The evolution of soliton molecules emphasizes the complex soliton dynamics akin to matter molecules.Beyond the simplest soliton molecule-a soliton pair constituted by two bound pulses-soliton molecules with more constituents have more degrees of freedom because of the temporal pulse separations and relative phases.Here we detailedly characterize the transient dynamics of soliton triplets in fiber lasers by using the dispersive Fourier transform measurement.A particular form of leading,central,and tailing pulses is constructed to shed new light on more intriguing scenarios and fuel the molecular analogy.Especially the vibrating dynamics of the central and tailing pulses are captured near the regime of equally spaced soliton triplets,which is reminiscent of the recurrent timing jitters within multi-pulse structures.Further insights enable acess into a universal form of unequally spaced soliton triplets interpreted as 2+1 soliton molecules.Different binding strengths of intramo-lecular and intermolecular bonds are validated with respect to the diverse internal motions involved in this soliton triplet molcule.All these findings unveil the transient dynamics with more degrees of freedom as well as highlight the possible application for all-optical bit storage. | YIYANG LUO RAN XIA PERRY PING SHUM WENJUN NI YUSONG LIU HUY QUOC LAM QIZHEN SUN XIAHUI TANG LUMING ZHAO | 2020 | Photonics Research2020，8，6： | 3 |
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