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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  
New binary travelling-wave periodic solutions for the modified KdV equation 期刊论文
PHYSICS LETTERS A, 2008, 卷号: 372, 期号: 7, 页码: 969-977
作者:  Yan, Zhenya
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
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:93/0  |  提交时间:2018/07/30
The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles 期刊论文
PHYSICS LETTERS A, 2005, 卷号: 345, 期号: 4-6, 页码: 362-377
作者:  Yan, ZY
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
integrable coupling  Backlund transformatiom  Painleve analysis  non-traveling wave solution  symbolic computation  
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 166, 期号: 3, 页码: 571-583
作者:  Yan, ZY
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
mKdV equation  the decomposition method  Jacobi elliptic function solution  error analysis  
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:91/0  |  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:77/0  |  提交时间:2018/07/30