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THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载:167/0  |  提交时间:2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions 期刊论文
APPLIED MATHEMATICS LETTERS, 2016, 卷号: 62, 页码: 101-109
作者:  Yan, Zhenya
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Nonlocal general VNLS equations  Lax pair  Conservation laws  PT symmetribility  Symmetry reductions  Exact solutions  Solitons  
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 203, 期号: 1, 页码: 106-112
作者:  Yan, Zhenya
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
modified Korteweg-de Vries ( mKdV)  equation with variable coefficients  exact solutions  
Conformal invariant asymptotic expansion approach for solving (3+1)-dimensional JM equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 45, 期号: 6, 页码: 979-984
作者:  Li, ZF;  Ruan, HY
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
(3+1)-dimensional Jimbo-Miwa (JM) equation  conformal invariant asymptotic expansion approach  Painleve property  approximate and exact solutions  
A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 177, 期号: 1, 页码: 396-409
作者:  Chen, Yong;  Wang, Qi
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
symbolic computation  exact solutions  nonlinear evolution equations  Jacobi elliptic function rational expansion method  Riccati equation rational expansion method  
New exact travelling wave solutions for the shallow long wave approximate equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 160, 期号: 1, 页码: 77-88
作者:  Wang, Q;  Chen, Y;  Li, B;  Zhang, HQ
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
projective Riccati equation method  shallow long wave approximate equation  exact solutions