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Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 12, 页码: 6422-6452
作者:  Pan, Chen;  Yanheng, Ding;  Hua-Yang, Wang
收藏  |  浏览/下载：102/0  |  提交时间：2023/02/07
Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
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  
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：147/0  |  提交时间：2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
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  
The Boltzmann Equation with Time-periodic Boundary Temperature 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 174-208
作者:  Duan, Renjun;  Wang, Yong;  Zhang, Zhu
收藏  |  浏览/下载：224/0  |  提交时间：2020/01/10
Boltzmann equation  time-periodic boundary  time-periodic solutions  existence  dynamical stability  a priori estimates  
ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 卷号: 50, 期号: 1, 页码: 1120-1162
作者:  Tao, Tao;  Zhang, Liqun
收藏  |  浏览/下载：169/0  |  提交时间：2018/07/30
Boussinesq equations  continuous periodic weak solutions  prescribed kinetic  
LASALLE TYPE STATIONARY OSCILLATION THEOREMS FOR AFFINE-PERIODIC SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 7, 页码: 2907-2921
作者:  Wang, Hongren;  Yang, Xue;  Li, Yong;  Li, Xiaoyue
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
LaSalle type stationary oscillation principle  Q-affine T-periodic solutions  asymptotic stability  
EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 7, 页码: 2669-2685
作者:  Chu, Jifeng;  Liang, Zaitao;  Torres, Pedro J.;  Zhou, Zhe
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
Satellite equation  twist periodic solutions  unstable periodic solutions  Poincare-Birkhoff theorem  third order approximation  
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