Lie group symmetry classification of solutions to coupled nonlinear Schrodinger equations

Mapping Intimacies ◽

10.1117/12.726994 ◽

2007 ◽

Author(s):

Vladimir I. Pulov ◽

Ivan M. Uzunov ◽

Edy J. Chacarov ◽

Valentin L. Lyutskanov

Keyword(s):

Lie Group ◽

Nonlinear Schrödinger Equations ◽

Group Symmetry ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrodinger Equations ◽

Classification Of Solutions ◽

Lie Group Symmetry

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)82007-6 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Author(s):

Jianke Yang

Keyword(s):

Solitary 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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Solutions and laws of conservation for coupled nonlinear Schrödinger equations: Lie group analysis

Physical Review E ◽

10.1103/physreve.57.3468 ◽

1998 ◽

Vol 57 (3) ◽

pp. 3468-3477 ◽

Author(s):

V. I. Pulov ◽

I. M. Uzunov ◽

E. J. Chacarov

Keyword(s):

Lie Group ◽

Group Analysis ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Lie Group Analysis ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)00035-3 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Author(s):

Y Jianke

Keyword(s):

Solitary 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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Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4789543 ◽

2013 ◽

Vol 54 (2) ◽

pp. 023502 ◽

Author(s):

C. Özemir ◽

F. Güngör

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Symmetry Classification for a Coupled Nonlinear Schrödinger Equations

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.1994.1.4.3 ◽

1994 ◽

Vol 1 (4) ◽

pp. 358-379

Author(s):

M. Euler ◽

N. Euler ◽

W.W. Zachary ◽

M.F. Mahwood ◽

T.L. Gill

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models

Reports on Mathematical Physics ◽

10.1016/s0034-4877(00)89037-0 ◽

2000 ◽

Vol 45 (2) ◽

pp. 273-291 ◽

Author(s):

Renat Zhdanov ◽

Olena Roman

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.08.023 ◽

2016 ◽

Vol 32 ◽

pp. 285-304 ◽

Author(s):

Liming Ling ◽

Li-Chen Zhao ◽

Boling Guo

Keyword(s):

Darboux Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Numerical Simulation of Coupled Nonlinear Schrödinger Equations Using the Generalized Differential Quadrature Method

Chinese Physics Letters ◽

10.1088/0256-307x/28/2/020202 ◽

2011 ◽

Vol 28 (2) ◽

pp. 020202 ◽

Author(s):

R Mokhtari ◽

A. Samadi Toodar ◽

N. G Chegini

Keyword(s):

Numerical Simulation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Quadrature Method ◽

Coupled Nonlinear Schrödinger Equations ◽

Generalized Differential Quadrature Method ◽

Nonlinear Schrodinger Equations ◽

Generalized Differential

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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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