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SOLITONS: 作品数：498被引量：448H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：马冰清姚素霞何影记潘全香更多>>; 相关机构：河南师范大学华南师范大学东南大学河南科技学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

High-Order Solitons and Hybrid Behavior of (3 + 1)-Dimensional Potential Yu-Toda-Sasa-Fukuyama Equation with Variable Coefficients: 《Journal of Applied Mathematics and Physics》2024年第8期2738-2763,共26页Xiyu Tan Xingying Li; In this paper, some exact solutions of the (3 + 1)-dimensional variable-coefficient Yu-Toda-Sasa-Fukuyama equation are investigated. By using Hirota’s direct method and symbolic computation, we obtained N-soliton sol...; 关键词：Variable-Coefficient YTSF Equation Hirota Bilinear Method N-SOLITON Hybrid Solution

New Lump Solution and Their Interactions with N-Solitons for a Shallow Water Wave Equation: 《Journal of Applied Mathematics and Physics》2024年第8期2836-2848,共13页Yin Ji Xiyu Tan; By employing the Hirota’s bilinear method and different test functions, the breather solutions of HSI equation with different structures are obtained based on symbolic calculation with perturbation parameters. Some n...; 关键词：HSI Equation Breather-Waves Lump Solutions Interaction Solution

Solitons and Bifurcations for the Generalized Tzitzéica Type Equation in Nonlinear Fiber Optics: 《Journal of Applied Mathematics and Physics》2023年第10期3042-3060,共19页Xujie Jiang; Solitons and bifurcations for the generalized Tzitzéica type equation are studied by using the theory of dynamical systems and Hamilton function. With the help of Maple and bifurcation theory of differential equation...; 关键词：Generalized Tzitzéica Type Equation Homoclinic Orbit Periodic Wave Solution Bright Soliton Dark Soliton

Polarization Simultons in CARS by Polaritons: 《Journal of Applied Mathematics and Physics》2023年第2期582-597,共16页Vladimir Feshchenko Galina Feshchenko; The system of shortened Maxwell’s equations simulating the processes of evolution of the stimulated Raman scattering (SRS) by polaritons in anisotropic dipole-active crystals is obtained. The theory was developed for...; 关键词：Nonstationary Stimulated Raman Scattering POLARITONS PHONONS SOLITONS POLARIZATION

Polarization Simultons in Stimulated Raman Scattering by Polaritons: 《Journal of Applied Mathematics and Physics》2021年第9期2193-2204,共12页Vladimir Feshchenko Galina Feshchenko; Expressions are obtained for the shortened Maxwell’s equations simulating the evolution of the ultrashort pulses propagating in anisotropic dipole-active crystals in stimulated Raman scattering (SRS) by polaritons. T...; 关键词：Nonstationary Stimulated Raman Scattering POLARITONS PHONONS SOLITONS POLARIZATION

Pulsating Solitons in the Two-Dimensional Complex Swift-Hohenberg Equation: 《Journal of Applied Mathematics and Physics》2018年第10期2127-2141,共15页Aladji Kamagaté Alain-Brice Moubissi; In this paper, we performed an investigation of the dissipative solitons of the two-dimensional (2D) Complex Swift-Hohenberg equation (CSHE). Stationary to pulsating soliton bifurcation analysis of the 2D CSHE is disp...; 关键词：Pulsating Solution DISSIPATIVE Soliton Spatio-Temporal Collective Coordinate Approach GINZBURG-LANDAU EQUATION COMPLEX Swift-Hohenberg EQUATION Spectral Filtering Bifurcation

Numerical Simulation for Nonlinear Water Waves Propagating along the Free Surface: 《Journal of Applied Mathematics and Physics》2016年第5期930-938,共9页Rabab Fadhel Al-Bar; The main aim of this work is to introduce the analytical approximate solutions of the water wave problem for a fluid layer of finite depth in the presence of gravity. To achieve this aim, we begun with the derivation ...; 关键词：Variational Iteration Method Nonlinear Water Waves Multiple Scale Korteweg-de Vries Equations Two Solitons Solution

Analytical and Traveling Wave Solutions to the Fifth Order Standard Sawada-Kotera Equation via the Generalized exp(-Φ(ξ))-Expansion Method被引量：1: 《Journal of Applied Mathematics and Physics》2016年第2期262-271,共10页M. Y. Ali M. G. Hafez M. K. H. Chowdury M. T. Akter; In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling...; 关键词：Generalized exp(-Φ(ξ))-Expansion Method Fifth Order Standard Sawada-Kotera Equation SOLITONS Periodic Wave Solutions

Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems: 《Journal of Applied Mathematics and Physics》2015年第10期1239-1248,共10页A. Konaté E. Soro O. Asseu A. Kamagaté P. Yoboué; We feature the stationary solutions of the 3D complex cubic-quintic Ginzburg-Landau equation (CGLE). Our approach is based on collective variables approach which helps to obtain a system of variational equations, givi...; 关键词：DISSIPATIVE SOLITONS Dispersion Nonlinear Gain COLLECTIVE Variables Approach Complex Cubic-Quintic GINZBURG-LANDAU Equation (3D) Three-Dimensional SOLITON Spatio-Temporal Pulses

The Rise of Solitons in Sine-Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function: 《Journal of Applied Mathematics and Physics》2014年第13期1202-1206,共5页Leonardo Mondaini; We show how the famous soliton solution of the classical sine-Gordon field theory in (1 + 1)-dimensions may be obtained as a particular case of a solution expressed in terms of the Jacobi amplitude, which is the inver...; 关键词：SOLITONS SINE-GORDON Field Theory Elliptic INTEGRALS JACOBI AMPLITUDE

SOLITONS