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

C. Özemir; F. Güngör

doi:10.1063/1.3634005

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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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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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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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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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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Semirational rogue waves for the three coupled variable-coefficient nonlinear Schrödinger equations in an inhomogeneous multicomponent optical fibre

Pramana ◽

10.1007/s12043-018-1670-6 ◽

2018 ◽

Vol 92 (1) ◽

Cited By ~ 5

Author(s):

Han-Peng Chai ◽

Bo Tian ◽

Jun Chai ◽

Zhong Du

Keyword(s):

Optical Fibre ◽

Variable Coefficient ◽

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4792 ◽

2018 ◽

Vol 41 (8) ◽

pp. 2930-2938 ◽

Cited By ~ 1

Author(s):

Mohamad Darwich

Keyword(s):

Cauchy Problem ◽

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Symmetry classes of variable coefficient nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/23/043 ◽

1993 ◽

Vol 26 (23) ◽

pp. 7061-7076 ◽

Cited By ~ 66

Author(s):

L Gagnon ◽

P Winternitz

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Symmetry Classes ◽

Nonlinear Schrodinger Equations

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Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2018.02.017 ◽

2018 ◽

Vol 109 ◽

pp. 90-98 ◽

Cited By ~ 59

Author(s):

Zhong Du ◽

Bo Tian ◽

Han-Peng Chai ◽

Yan Sun ◽

Xue-Hui Zhao

Keyword(s):

Optical Fiber ◽

Fourth Order ◽

Variable Coefficient ◽

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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