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

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...

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Vydáno v:Journal of Applied Mathematics Ročník 2012; číslo 2012; s. 908 - 922-156
Hlavní autoři: Zeid I. A. Al-Muhiameed, Emad A.-B. Abdel-Salam
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Témata:
Algebra
Computer simulation
Derivatives
Differential equations
Exact solutions
Fluid dynamics
Hyperbolic functions
Mathematical analysis
Mathematical models
Nonlinearity
Partial differential equations
Studies
Subsidiaries
ISSN:1110-757X, 1687-0042
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Popis
Shrnutí: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.
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ISSN:1110-757X
1687-0042
DOI:10.1155/2012/265348