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

• Authors: E. Zayed , M. Abdelaziz
• Languages of publication: EN

Abstracts

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.

Keywords

EN

02.30.Jr; 05.45.Yv; 02.30.Ik

Discipline

• 02.30.Ik: Integrable systems
• 02.30.Jr: Partial differential equations
• 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 3
• Pages: 573-580

Dates

published

2012-03

received

2010-12-29

(unknown)

2011-06-03

Contributors

author

E. Zayed

• Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

author

M. Abdelaziz

• Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

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Identifiers

DOI

10.12693/APhysPolA.121.573