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Applications of a Generalized Extended (G `/G)-Expansion Method to Find Exact Solutions of Two Nonlinear Schrodinger Equations with Variable Coefficients
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
573-580
Authors:
Zayed, E. M. E, Abdelaziz, M. A. M
Journal:
ACTA PHYSICA POLONICA A POLISH ACAD SCIENCES INST PHYSICS
Volume:
121
Research Area:
Physics
ISSN
ISI:000302930700001
Keywords :
Applications , , Generalized Extended , `/G)-Expansion Method , Find
Abstract:
In the present paper, we construct the travelling wave solutions of two nonlinear Schrodinger equations with variable coefficients by using a generalized extended (G'/G)-expansion method, where G = G(xi) 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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