Journal of Applied Mathematics

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

Zeid I. A. Al-Muhiameed and Emad A.-B. Abdel-Salam

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 265348, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495086

Digital Object Identifier
doi:10.1155/2012/265348

Mathematical Reviews number (MathSciNet)
MR2904525

Zentralblatt MATH identifier
1246.35186

Citation

Al-Muhiameed, Zeid I. A.; Abdel-Salam, Emad A.-B. Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations. J. Appl. Math. 2012 (2012), Article ID 265348, 15 pages. doi:10.1155/2012/265348. https://projecteuclid.org/euclid.jam/1355495086


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