The simplest equation method to study perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.09.023 ◽

2012 ◽

Vol 17 (4) ◽

pp. 1493-1499 ◽

Author(s):

N. Taghizadeh ◽

M. Mirzazadeh

Keyword(s):

Equation Method ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Simplest Equation Method ◽

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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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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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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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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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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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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Kerr-law nonlinearity of the resonant nonlinear Schrodinger’s equation with time-dependent coefficients

Optical and Quantum Electronics ◽

10.1007/s11082-017-1053-0 ◽

2017 ◽

Vol 49 (7) ◽

Author(s):

Mehdi Fazli Aghdaei

Keyword(s):

Time Dependent ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Bright and dark soliton solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law and non-Kerr law nonlinearity

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.08.098 ◽

2014 ◽

Vol 247 ◽

pp. 501-510 ◽

Author(s):

M.S. Abdel Latif

Keyword(s):

Soliton Solutions ◽

Dark Soliton ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Dark and singular optical solutions with dual-mode nonlinear Schrödinger's equation and Kerr-law nonlinearity

Optik ◽

10.1016/j.ijleo.2018.07.069 ◽

2018 ◽

Vol 172 ◽

pp. 822-825 ◽

Author(s):

Imad Jaradat ◽

Marwan Alquran ◽

Shaher Momani ◽

Anjan Biswas

Keyword(s):

Dual Mode ◽

Schrödinger’S Equation ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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