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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
Authors:  Chen, Yong;  Yan, Zhenya
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The generalized linear and nonlinear Schrodinger equations  PT-symmetric periodic potentials  Effective-mass modulation  Optical solitons  Stability  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
Authors:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
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conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
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
Authors:  Yan, Zhenya;  Chen, Yong
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Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrodinger equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 卷号: 473, 期号: 2203, 页码: 19
Authors:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
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coupled nonlinear Schrodinger equations with four-wave mixing  modulational instability  Darboux transformation  beak-shaped rogue wave  multi-dark-dark solitons  dynamics  
Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations 期刊论文
EPL, 2017, 卷号: 118, 期号: 6, 页码: 6
Authors:  Zhang, Guoqiang;  Yan, Zhenya
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Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses 期刊论文
SCIENTIFIC REPORTS, 2017, 卷号: 7, 页码: 21
Authors:  Chen, Yong;  Yan, Zhenya;  Mihalache, Dumitru;  Malomed, Boris A.
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Interactions of localized wave structures and dynamics in the defocusing coupled nonlinear Schrodinger equations 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 95, 期号: 4, 页码: 12
Authors:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong;  Chen, Yong
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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
Authors:  Chen, Yong;  Yan, Zhenya;  Li, Xin
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Generalized nonlinear Schrodinger equation  PT-symmetric lattice potential  Spatially-periodic momentum modulation  Gap solitons  Stability  
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
Authors:  Tang, Wensheng;  Sun, Yajuan;  Cai, Wenjun
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Discontinuous Galerkin method  Hamiltonian systems  Continuous-stage PRK method  Symplectic PRK scheme  Multi-symplectic PRK scheme  Conservation laws  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
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Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction