The extended (G′/G)-expansion method and travelling wave solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

Pramana ◽

10.1007/s12043-014-0747-0 ◽

2014 ◽

Vol 82 (6) ◽

pp. 1011-1029 ◽

Author(s):

ZAIYUN ZHANG ◽

JIANHUA HUANG ◽

JUAN ZHONG ◽

SHA-SHA DOU ◽

JIAO LIU ◽

...

Keyword(s):

Expansion Method ◽

Travelling Wave ◽

Travelling Wave Solutions ◽

Schrödinger’S Equation ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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The modified -expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.03.032 ◽

2011 ◽

Vol 16 (11) ◽

pp. 4259-4267 ◽

Author(s):

Xiu-jin Miao ◽

Zai-yun Zhang

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Expansion Method ◽

Schrödinger’S Equation ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrödinger's Equation with Kerr Law Nonlinearity

Communications in Theoretical Physics ◽

10.1088/0253-6102/57/5/05 ◽

2012 ◽

Vol 57 (5) ◽

pp. 764-770 ◽

Author(s):

Zai-Yun Zhang ◽

Xiang-Yang Gan ◽

De-Min Yu ◽

Ying-Hui Zhang ◽

Xin-Ping Li

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Schrödinger’S Equation ◽

Exact Traveling Wave Solutions ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Exact solutions of perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by improved $${\textbf{tan}} \left( {\frac{{\boldsymbol{\phi}} \left( {\boldsymbol{\xi}} \right)}{{\textbf{2}}}} \right)$$tanϕξ2-expansion method

Optical and Quantum Electronics ◽

10.1007/s11082-017-1314-y ◽

2018 ◽

Vol 50 (1) ◽

Author(s):

Naveed Ahmed ◽

Amna Irshad ◽

Syed Tauseef Mohyud-Din ◽

Umar Khan

Keyword(s):

Exact Solutions ◽

Expansion Method ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Exact traveling wave solutions of perturbed nonlinear Schrödinger's equation (NLSE) with Kerr law nonlinearity

Optik ◽

10.1016/j.ijleo.2011.10.028 ◽

2012 ◽

Vol 123 (24) ◽

pp. 2250-2253 ◽

Author(s):

Semiha Özgül ◽

Meltem Turan ◽

Ahmet Yıldırım

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Schrödinger’S Equation ◽

Exact Traveling Wave Solutions ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Solitary wave solutions for perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity under the DAM

Optik ◽

10.1016/j.ijleo.2015.02.075 ◽

2015 ◽

Vol 126 (13) ◽

pp. 1312-1317 ◽

Author(s):

M. Eslami

Keyword(s):

Solitary Wave ◽

Solitary Wave Solutions ◽

Schrödinger’S Equation ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity

Physics Letters A ◽

10.1016/j.physleta.2010.11.070 ◽

2011 ◽

Vol 375 (10) ◽

pp. 1275-1280 ◽

Author(s):

Zai-yun Zhang ◽

Zhen-hai Liu ◽

Xiu-jin Miao ◽

Yue-zhong Chen

Keyword(s):

Qualitative Analysis ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Schrödinger’S Equation ◽

Wave Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.04.026 ◽

2010 ◽

Vol 216 (10) ◽

pp. 3064-3072 ◽

Author(s):

Zai-yun Zhang ◽

Zhen-hai Liu ◽

Xiu-jin Miao ◽

Yue-zhong Chen

Keyword(s):

Exact Solutions ◽

Schrödinger’S Equation ◽

New Exact Solutions ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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A Lie symmetry approach to nonlinear Schrödinger’s equation with non-Kerr law nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.02.024 ◽

2009 ◽

Vol 14 (12) ◽

pp. 4033-4040 ◽

Author(s):

C. Masood Khalique ◽

Anjan Biswas

Keyword(s):

Lie Symmetry ◽

Schrödinger’S Equation ◽

Symmetry Approach ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Lie Symmetry Approach ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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1-Soliton Solution of the Nonlinear Schrödinger’s Equation with Kerr Law Nonlinearity Using Lie Symmetry Analysis

International Journal of Theoretical Physics ◽

10.1007/s10773-009-9957-5 ◽

2009 ◽

Vol 48 (7) ◽

pp. 1872-1876 ◽

Author(s):

C. Masood Khalique ◽

Anjan Biswas

Keyword(s):

Soliton Solution ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Topological 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity in 1+2 dimensions

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2008.09.025 ◽

2009 ◽

Vol 14 (7) ◽

pp. 2845-2847 ◽

Author(s):

Anjan Biswas

Keyword(s):

Soliton Solution ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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