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Applications of a Generalized Extended (G'/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients

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Zayed E., Abdelaziz M.

Acta Physica Polonica A

2012

vol. 121

issue 3

573-580

In the present paper, we construct the travelling wave solutions of two nonlinear Schrödinger equations with variable coefficients by using a generalized extended (G'/G) -expansion method, where G = G(ξ) satisfies a second order linear ordinary differential equation. By using this method, new exact solutions involving parameters, expressed by hyperbolic and trigonometric function solutions are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.

Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity

100%

Zayed E., Al-Nowehy A.

Acta Physica Polonica A

2017

vol. 131

issue 2

240-251

In this article, we apply two mathematical tools, namely the first integral method and the rational (G'/G)-expansion method to construct the exact solutions with parameters of the nonlinear Biswas-Milovic equation with dual-power law nonlinearity. When these parameters take special values, the solitary wave solutions are derived from the exact solutions. We compare between the results yielding from these integration tools. A comparison between our results in this paper and the well-known results is also given.

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2 Acta Physica Polonica A

1 2017

1 2012

2 Zayed E.

1 Abdelaziz M.

1 Al-Nowehy A.

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Applications of a Generalized Extended (G'/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients

Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity