High-order split-step exponential methods for solving coupled nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/27/21/030 ◽

1994 ◽

Vol 27 (21) ◽

pp. 7147-7155 ◽

Author(s):

A D Bandrauk ◽

Hai Shen

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exponential Methods

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High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106343 ◽

2020 ◽

Vol 105 ◽

pp. 106343 ◽

Author(s):

Gao-Qing Meng

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coherent Coupling ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.11.007 ◽

2011 ◽

Vol 61 (2) ◽

pp. 319-333 ◽

Author(s):

Yuanping Ma ◽

Linghua Kong ◽

Jialin Hong ◽

Ying Cao

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Multisymplectic Method

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Breather waves, high-order rogue waves and their dynamics in the coupled nonlinear Schrödinger equations with alternate signs of nonlinearities

EPL (Europhysics Letters) ◽

10.1209/0295-5075/127/50005 ◽

2019 ◽

Vol 127 (5) ◽

pp. 50005 ◽

Author(s):

Wei-Qi Peng ◽

Shou-Fu Tian ◽

Tian-Tian Zhang

Keyword(s):

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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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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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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Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Nonlinear Dynamics ◽

10.1007/s11071-014-1474-2 ◽

2014 ◽

Vol 78 (1) ◽

pp. 755-770 ◽

Author(s):

Wen-Jun Liu ◽

Nan Pan ◽

Long-Gang Huang ◽

Ming Lei

Keyword(s):

Symbolic Computation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

Computer Physics Communications ◽

10.1016/j.cpc.2011.07.009 ◽

2011 ◽

Vol 182 (12) ◽

pp. 2519-2529 ◽

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Soliton Solution ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Chebyshev Pseudospectral

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Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

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On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.04.038 ◽

2008 ◽

Vol 55 (4) ◽

pp. 745-759 ◽

Author(s):

Bartosz Reichel ◽

Sergey Leble

Keyword(s):

Numerical Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Convergence And Stability ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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