New explicit exact solutions of the unstable nonlinear Schrödinger’s equation using the exp
                a
               and hyperbolic function methods

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. In this paper, the first integral method is used to construct exact solutions of the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity. It is shown that the proposed method is effective and general.

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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) ◽

Cited By ~ 4

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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Optical solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients by the first integral method

Optik ◽

10.1016/j.ijleo.2014.01.013 ◽

2014 ◽

Vol 125 (13) ◽

pp. 3107-3116 ◽

Cited By ~ 86

Author(s):

M. Eslami ◽

M. Mirzazadeh ◽

B. Fathi Vajargah ◽

Anjan Biswas

Keyword(s):

Integral Method ◽

First Integral ◽

Optical Solitons ◽

Time Dependent ◽

First Integral Method ◽

Schrödinger’S Equation ◽

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 ◽

Cited By ~ 28

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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General Solitons and other solutions for coupled system of nonlinear Schrödinger’s equation in magneto-optic waveguides with anti-cubic law nonlinearity by using improved modified extended tanh-function method

Optik ◽

10.1016/j.ijleo.2021.168369 ◽

2022 ◽

Vol 251 ◽

pp. 168369

Author(s):

Adel Darwish ◽

Hamdy M. Ahmed ◽

Medhat Ammar ◽

Mohammed H. Ali ◽

Ahmed H. Arnous

Keyword(s):

Function Method ◽

Coupled System ◽

Schrödinger’S Equation ◽

Cubic Law ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation ◽

Magneto Optic

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New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity

International Journal of Modern Physics B ◽

10.1142/s0217979220500320 ◽

2020 ◽

Vol 34 (06) ◽

pp. 2050032 ◽

Cited By ~ 1

Author(s):

Khalid K. Ali ◽

Hadi Rezazadeh ◽

R. A. Talarposhti ◽

Ahmet Bekir

Keyword(s):

Power Law ◽

Soliton Solutions ◽

Schrödinger’S Equation ◽

Modified Kudryashov Method ◽

Cubic Law ◽

Kudryashov Method ◽

Full Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

In this paper, we discuss deep visual solutions of resonant nonlinear Schrödinger’s equation having full nonlinearity via taking the modified Kudryashov method. There are four types of nonlinearity in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law and triple-power law. By performing this algorithm, logarithmical and rational solitons are deduced.

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