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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：191/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
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：136/0  |  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：144/0  |  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：122/0  |  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  
Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case 期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 1, 页码: 161-172
作者:  Lemle Ludovic Dan;  Wang Ran;  Wu LiMing
收藏  |  浏览/下载：127/0  |  提交时间：2021/01/14
GENERALIZED SCHRODINGER-OPERATORS  STOCHASTIC DIFFERENTIAL-EQUATIONS  DIRICHLET OPERATORS  ISING-MODELS  DIFFUSIONS  MANIFOLDS  DYNAMICS  SPACES  spin lattice systems  Fokker-Planck equation  
Geometric Schrodinger-Airy flows on Kahler manifolds 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 209-240
作者:  Sun Xiao Wei;  Wang You De
收藏  |  浏览/下载：123/0  |  提交时间：2021/01/14
GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SYMMETRIC-SPACES  MKDV EQUATIONS  AXIAL-FLOW  MAPS  SOLITON  KDV  Schrodinger-Airy flow  complex-valued mKdV equation  KdV flow  generalized Hasimoto transformation  geometric energy method  conversation laws  
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：92/0  |  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：150/0  |  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：120/0  |  提交时间：2018/07/30
inhomogeneous higher-order nonlinear Schrodinger equation  generalized projective Riccati equation method  solitary wave solutions  symbolic computation