Journal of Applied Mathematics
Volume 2012 (2012), Article ID 265348, 15 pages
http://dx.doi.org/10.1155/2012/265348
Research Article

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

Zeid I. A. Al-Muhiameed1 and Emad A.-B. Abdel-Salam1,2

1Mathematics Department, Faculty of Science, Qassim University, Buraydah 51452, Saudi Arabia
2Department of Science and Mathematics, Faculty of Education, Assiut University, New Valley Branch, El-Kharja 72511, Egypt

Received 10 October 2011; Revised 4 January 2012; Accepted 17 January 2012

Academic Editor: Shan Zhao

Copyright © 2012 Zeid I. A. Al-Muhiameed and Emad A.-B. Abdel-Salam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Liu equation are investigated and the exact solutions are derived with the aid of the homogenous balance principle and generalized hyperbolic functions. We study the effect of the generalized hyperbolic function parameters p and q in the obtained solutions by using the computer simulation.