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Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载:92/0  |  提交时间:2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载:99/0  |  提交时间:2023/02/07
Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载:189/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials 期刊论文
ANNALS OF PHYSICS, 2017, 卷号: 386, 页码: 44-57
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
The generalized linear and nonlinear Schrodinger equations  PT-symmetric periodic potentials  Effective-mass modulation  Optical solitons  Stability  
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 69, 页码: 113-120
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Integrable nonlocal nonlinear schrodinger equation  Lax pair  Loop group method  Generalized darboux transformation  Higher-order rational solitons  
One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 55, 页码: 287-297
作者:  Chen, Yong;  Yan, Zhenya;  Li, Xin
收藏  |  浏览/下载:143/0  |  提交时间:2018/07/30
Generalized nonlinear Schrodinger equation  PT-symmetric lattice potential  Spatially-periodic momentum modulation  Gap solitons  Stability  
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 833-842
作者:  Yang, Yungqing;  Wang, Xin;  Yan, Zhenya
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
The generalized nonlinear Schrodinger (NLS) equation  The LPD-Hirota equation  Similarity reduction method  Rogue wave solutions  Motions of the hump and valleys  
Exact analytical solutions for the generalized non-integrable nonlinear Schrodinger equation with varying coefficients 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 48, 页码: 4838-4843
作者:  Yan, Zhenya
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
Generalized non integrable nonlinear  Schrodinger equation with varying  coefficients  Similarity transformation  The tri function method  Analytical solutions  
Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 卷号: 92, 期号: 1, 页码: 18-51
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载:148/0  |  提交时间:2018/07/30
Generalized 1D Ginzburg-Landau equation  Derivative nonlinear Schrodinger equation  Well-posedness  Inviscid limit behavior  
Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation 期刊论文
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 卷号: 61, 期号: 10-11, 页码: 509-518
作者:  Li, Biao;  Chen, Yong
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
inhomogeneous higher-order nonlinear Schrodinger equation  generalized projective Riccati equation method  solitary wave solutions  symbolic computation