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

Zeid I. A. Al-Muhiameed, Emad A.-B. Abdel-Salam
2012 Journal of Applied Mathematics  
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
more » ... ralized hyperbolic functions. We study the effect of the generalized hyperbolic function parameterspandqin the obtained solutions by using the computer simulation.
doi:10.1155/2012/265348 fatcat:zefx5qszrfaazike26yvb5q7ne