Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations

Journal of Evolution Equations ◽

10.1007/s00028-020-00585-y ◽

2020 ◽

Author(s):

Younghun Hong ◽

Chulkwang Kwak ◽

Shohei Nakamura ◽

Changhun Yang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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A linearized, decoupled, and energy-preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22125 ◽

2016 ◽

Vol 33 (3) ◽

pp. 840-867 ◽

Author(s):

Tingchun Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the compact difference scheme for the two‐dimensional coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22855 ◽

2021 ◽

Author(s):

Mohamed Rahmeni ◽

Khaled Omrani

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Difference Scheme ◽

Nonlinear Schrödinger ◽

Compact Difference ◽

Nonlinear Schrodinger Equations

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Efficient semi-implicit compact finite difference scheme for nonlinear Schrödinger equations on unbounded domain

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.02.014 ◽

2020 ◽

Vol 153 ◽

pp. 319-343

Author(s):

Yunxia Hu ◽

Hongwei Li ◽

Ziwen Jiang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Unbounded Domain ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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A new high‐order accurate conservative finite difference scheme for the coupled nonlinear Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7579 ◽

2021 ◽

Author(s):

Yuyu He ◽

Xiaofeng Wang ◽

Weizhong Dai ◽

Yaqing Deng

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Conservative Finite Difference Scheme

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Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626099 ◽

2012 ◽

Vol 37 (4) ◽

pp. 732-752 ◽

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Two-Dimensional Nonlinear Schrodinger Equations and Their Properties

10.21236/ada272184 ◽

1993 ◽

Author(s):

D. J. Kaup ◽

Ronald E. Kates

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.012 ◽

2010 ◽

Vol 59 (10) ◽

pp. 3286-3300 ◽

Author(s):

Zhi-zhong Sun ◽

Dan-dan Zhao

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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An Implicit Generalized Finite-Difference Time-Domain Scheme for Solving Nonlinear Schrödinger Equations

Mathematics of Continuous and Discrete Dynamical Systems - Contemporary Mathematics ◽

10.1090/conm/618/12325 ◽

2014 ◽

pp. 181-193

Author(s):

Frederick Moxley III ◽

David Chuss ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Difference Time

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Finite difference approximation for nonlinear Schrödinger equations with application to blow-up computation

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-016-0218-8 ◽

2016 ◽

Vol 33 (2) ◽

pp. 427-470 ◽

Author(s):

Norikazu Saito ◽

Takiko Sasaki

Keyword(s):

Finite Difference ◽

Blow Up ◽

Nonlinear Schrödinger Equations ◽

Finite Difference Approximation ◽

Difference Approximation ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrödinger equations

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-02092-6 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Cestmir Burdik ◽

Gaukhar Shaikhova ◽

Berik Rakhimzhanov

Keyword(s):

Traveling Wave ◽

Soliton Solutions ◽

Traveling Wave Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Nonlinear Schrodinger Equations

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