Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations

C. Özemir; F. Güngör

doi:10.1063/1.4789543

Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4789543 ◽

2013 ◽

Vol 54 (2) ◽

pp. 023502 ◽

Cited By ~ 4

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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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 ◽

Cited By ~ 14

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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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 ◽

Cited By ~ 17

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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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 ◽

Cited By ~ 71

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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Interactions among periodic optical solitons for the variable coefficient coupled nonlinear Schrödinger equations

Optik ◽

10.1016/j.ijleo.2020.165621 ◽

2021 ◽

Vol 226 ◽

pp. 165621

Author(s):

Xiao-Min Wang ◽

Xiao-Xiao Hu

Keyword(s):

Variable Coefficient ◽

Optical Solitons ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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 ◽

Cited By ~ 6

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 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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Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions

Journal of Mathematical Physics ◽

10.1063/1.3634005 ◽

2011 ◽

Vol 52 (9) ◽

pp. 093702 ◽

Cited By ~ 2

Author(s):

C. Özemir ◽

F. Güngör

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Symmetry Groups ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Some Special Rogue Waves in One Type of Variable Coefficient Nonlinear Schrödinger Equations

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2014/12685 ◽

2014 ◽

Vol 4 (24) ◽

pp. 3489-3496

Author(s):

Yue Wu ◽

Jiuli Yin ◽

Xingyu Feng ◽

Qianqian Xing ◽

Dan Li

Keyword(s):

Variable Coefficient ◽

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Solitons for the (3+1)-dimensional variable-coefficient coupled nonlinear Schrödinger equations in an optical fiber

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.02.056 ◽

2017 ◽

Vol 109 ◽

pp. 345-359 ◽

Cited By ~ 31

Author(s):

Gao-Fu Deng ◽

Yi-Tian Gao

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Dimensional Variable

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Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear Schrödinger Equations with Variable Coefficient

Communications in Theoretical Physics ◽

10.1088/0253-6102/46/4/020 ◽

2006 ◽

Vol 46 (4) ◽

pp. 656-662 ◽

Cited By ~ 3

Author(s):

Ge Jian-Ya ◽

Wang Rui-Min ◽

Dai Chao-Qing ◽

Zhang Jie-Fang

Keyword(s):

Exact Solutions ◽

Variable Coefficient ◽

Mapping Method ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Elliptical Equation ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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