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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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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Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.03.019 ◽

2011 ◽

Vol 235 (14) ◽

pp. 4237-4250 ◽

Author(s):

Tingchun Wang

Keyword(s):

Difference Scheme ◽

Error Bound ◽

Nonlinear Schrödinger Equations ◽

Maximum Norm ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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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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On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

The European Physical Journal B ◽

10.1140/epjb/e2016-70420-0 ◽

2016 ◽

Vol 89 (10) ◽

Author(s):

Kannan Manikandan ◽

Murugaian Senthilvelan ◽

Roberto André Kraenkel

Keyword(s):

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.037 ◽

2013 ◽

Vol 242 ◽

pp. 670-681 ◽

Author(s):

Dongling Wang ◽

Aiguo Xiao ◽

Wei Yang

Keyword(s):

Fractional Derivative ◽

Difference Scheme ◽

Riesz Space ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.04.047 ◽

2014 ◽

Vol 272 ◽

pp. 644-655 ◽

Author(s):

Dongling Wang ◽

Aiguo Xiao ◽

Wei Yang

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Conservative Difference Scheme ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Conservative Difference

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Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

Journal of Mathematical Physics ◽

10.1063/1.1996831 ◽

2005 ◽

Vol 46 (8) ◽

pp. 082701 ◽

Author(s):

F. E. Laine-Pearson

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Wave Trains ◽

Coupled Nonlinear Schrodinger Equations

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Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.09.033 ◽

2009 ◽

Vol 388 (2-3) ◽

pp. 209-217 ◽

Author(s):

Xiang-Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai-Qiang Zhang ◽

Qian Feng

Keyword(s):

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled 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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Similarity reductions for variable-coefficient coupled nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/16/025 ◽

1993 ◽

Vol 26 (16) ◽

pp. 4093-4106 ◽

Author(s):

N Manganaro ◽

D F Parker

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Similarity Reductions

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