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Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：174/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity 期刊论文
APPLIED MATHEMATICS LETTERS, 2009, 卷号: 22, 期号: 4, 页码: 448-452
作者:  Yan, Zhenya
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
Discrete nonlinear Schrodinger equation with a saturable nonlinearity  Jacobi elliptic function  Envelope solution  Dark soliton solution  
New exact solution profiles of the nonlinear dispersion Drinfel'd-Sokolov (D(m,n)) system 期刊论文
CHAOS SOLITONS & FRACTALS, 2009, 卷号: 39, 期号: 2, 页码: 866-872
作者:  Xie, Fuding;  Yan, Zhenya
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 卷号: 56, 期号: 6, 页码: 1569-1579
作者:  Wang, Deng-Shan;  Yan, Zhenya;  Li, Hongbo
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
sine-cosine-Gordon equation  double sinh-Gordon equation  separation transformation  Soliton solution  separation transformation approach  
Single and multi-solitary wave solutions to a class of nonlinear evolution equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 1, 页码: 273-298
作者:  Wang, Deng-Shan;  Li, Hongbo
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
travelling wave solution  multi-solitary wave  factorization technique  Bessel functions  Hirota's bilinear method  Painleve analysis  Riccati equation  elliptic equation  
Elliptic equation's new solutions and their applications to two nonlinear partial differential equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 188, 期号: 1, 页码: 762-771
作者:  Wang, Deng-Shan;  Li, Hong-Bo
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
symbolic computation  elliptic equation  non-travelling wave solution  nonlinear partial differential equations  
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 361, 期号: 3, 页码: 223-230
作者:  Yan, Zhenya
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
higher-dimensional generalized Boussinesq equation  similarity reductions  solitary wave-like solution  doubly-periodic wave-like solution  
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 361, 期号: 3, 页码: 194-200
作者:  Yan, Zhenya
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
nonlinear dispersion  coupled nonlinear wave equations  compactons  solitary patterns  solitary wave solutions  
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 8, 页码: 1798-1811
作者:  Yan, ZY
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
discrete soliton equations  discrete sine-Gordon expansion method  solitary wave solution  symbolic computation  
New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 5, 页码: 901-909
作者:  Yan, ZY
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
nonlinear wave equation  comptacton-like solution  solitary patterns-like solution  symbolic computation