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Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential 期刊论文
NONLINEAR DYNAMICS, 2018, 卷号: 91, 期号: 2, 页码: 853-861
作者:  Li, Xin;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Nonlinear Schrodinger-like equation  PT-symmetric rational potential  Bright solitons  Interactions  Soliton excitations  
The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 7, 页码: 14
作者:  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 95, 期号: 1, 页码: 11
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Decay Rates of the Hyperbolic Equation in an Exterior Domain with Half-Linear and Nonlinear Boundary Dissipations 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 657-680
作者:  Liu Yuxiang;  Li Jing;  Yao Pengfei
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Energy decay  exterior domain  hyperbolic equation  Riemannian geometry method  variable coefficients  
Boundary Controllability for the Quasilinear Wave Equation 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2010, 卷号: 61, 期号: 2, 页码: 191-233
作者:  Yao, Peng-Fei
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Quasi-linear wave equation  Exact controllability  Sectional curvature  
Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 卷号: 31, 期号: 1, 页码: 59-70
作者:  Yao, Pengfei
收藏  |  浏览/下载:78/0  |  提交时间:2018/07/30
Wave equation  Riemannian metric  Localized dissipation near infinity  
Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities 期刊论文
PHYSICAL REVIEW E, 2009, 卷号: 80, 期号: 3, 页码: 9
作者:  Yan, Zhenya;  Konotop, V. V.
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
nonlinear equations  Schrodinger equation  
Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation 期刊论文
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2009, 卷号: 15, 期号: 3, 页码: 331-358
作者:  Chai, Shugen;  Guo, Bao-Zhu
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Wave-plate equation  well-posed and regular system  infinite-dimensional system  
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 36, 期号: 2, 页码: 278-282
作者:  Xie, Fuding;  Yan, Zhenya
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
Global smooth solutions of the quasi-linear wave equation with internal velocity feedback 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 卷号: 47, 期号: 4, 页码: 2044-2077
作者:  Zhang, Zhi-Fei;  Yao, Peng-Fei
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
quasi-linear wave equation  Riemannian metric  internal velocity feedback