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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：170/0  |  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  
Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 卷号: 423, 期号: 2, 页码: 1370-1399
作者:  Yan, Zhenya
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
The generalized Gross-Pitaevskii equation  Bose-Einstein condensates  Varying source  Non-trivial phase solutions  Solitary wave solutions  Periodic wave solutions  
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：87/0  |  提交时间：2018/07/30
Discrete nonlinear Schrodinger equation with a saturable nonlinearity  Jacobi elliptic function  Envelope solution  Dark soliton solution  
The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 38, 期号: 2, 页码: 374-382
作者:  Wang, Deng-Shan;  Li, Hong-Bo;  Wang, Jike
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
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：98/0  |  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：112/0  |  提交时间：2018/07/30
symbolic computation  elliptic equation  non-travelling wave solution  nonlinear partial differential equations  
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2006, 卷号: 29, 期号: 4, 页码: 948-964
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 3, 页码: 391-396
作者:  Yan, ZY
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
soliton equations  Weierstrass elliptic function  doubly periodic solution  symbolic computation  
An improved algebra method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2004, 卷号: 21, 期号: 4, 页码: 1013-1021
作者:  Yan, ZY
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm 期刊论文
Communications in Theoretical Physics, 2004, 卷号: 42, 期号: 5, 页码: 645
作者:  Yan Zhenya
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30