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  1. 1 Acta Physica Polonica A

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  1. 1 2012

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  1. 1 Abdelaziz M.

  2. 1 Zayed E.

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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
EN
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.
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