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Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
Authors:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya
Favorite  |  View/Download:73/0  |  Submit date:2021/10/26
Multi-component NLS equations  Nonzero boundary conditions  Lax pair  Loop group method  Darboux transform  Higher-order vector Peregrine solitons  Parity-time-reversal symmetry  Governing polynomial  Asymptotic estimates  
Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 475, 期号: 1, 页码: 350-363
Authors:  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download:94/0  |  Submit date:2020/01/10
Nonlinear Schrodinger equations  Bound state solution  Perturbation method  Pohozaev-Nehari identity  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
Authors:  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download:96/0  |  Submit date:2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
Authors:  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download:100/0  |  Submit date:2018/09/08
n-component nonlinear Schrodinger equations  Darboux transformation dark-bright mixed solitons  dark-bright mixed high-order solitons  wing-shaped structure of the breathers  dynamics