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The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
Authors:  Chen, Shuyan;  Yan, Zhenya
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Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
Authors:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
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Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation 期刊论文
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2016, 卷号: 28, 期号: 3, 页码: 28
Authors:  Wen, Ruili;  Chai, Shugen;  Guo, Bao-Zhu
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Fourth-order Schrodinger equation  Well-posedness  Exact controllability  Boundary control and observation  
Well-posedness for the fourth-order nonlinear derivative Schrodinger equation in higher dimension 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 卷号: 96, 期号: 2, 页码: 190-206
Authors:  Huo, Zhaohui;  Jia, Yueling
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Fourth-order Schrodinger equation  Well-posedness  Dyadic X(s,b) spaces  
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 7, 期号: 3, 页码: 613-630
Authors:  Hong, Jialin;  Kong, Linghua
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Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method  
A High Order Numerical Method for Computing Physical Observables in the Semiclassical Limit of the One-Dimensional Linear Schrodinger Equation with Discontinuous Potentials 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2010, 卷号: 42, 期号: 2, 页码: 318-344
Authors:  Wen, Xin
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Semiclassical limit  Schrodinger equation  Liouville equation  Discontinuous potential  
A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 卷号: 32, 期号: 10-12, 页码: 1493-1510
Authors:  Huo, Zhaohui;  Jia, Yueling
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local well-posedness  the Fourier restriction norm  the fourth-order schrodinger equation