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Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
作者:  Weng, Weifang;  Qiao, Zhijun;  Yan, Zhenya
收藏  |  浏览/下载:129/0  |  提交时间:2022/04/29
Generalized cubic-quintic CH equation  Well-posedness  Wave breaking  Weak solutions  Non-periodic and periodic peakon solutions  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:151/0  |  提交时间:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
Periodic Solutions to Klein-Gordon Systems with Linear Couplings 期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
作者:  Chen, Jianyi;  Zhang, Zhitao;  Chang, Guijuan;  Zhao, Jing
收藏  |  浏览/下载:156/0  |  提交时间:2021/10/26
Wave Equation  Variational Method  Klein-Gordon System  Periodic Solutions  
Existence of multiple periodic solutions to asymptotically linear wave equations in a ball 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 56, 期号: 3, 页码: 25
作者:  Chen, Jianyi;  Zhang, Zhitao
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Asymptotically linear wave equation  Multi-dimensional problem  Periodic solutions  Variational method  
Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 卷号: 260, 期号: 7, 页码: 6017-6037
作者:  Chen, Jianyi;  Zhang, Zhitao
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Nonlinear wave equation  Periodic solutions  Minimax principle  
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:133/0  |  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