IJPAM: Volume 104, No. 4 (2015)

NEW TRAVELLING WAVE SOLUTIONS FOR STOCHASTIC
CUBIC NON LINEAR KLEIN-GORDON EQUATION

Hossam A. Ghany$^{1,2}$, M.R. Al Harthi$^{2}$, M. Al Qurashi$^{2}$
$^1$Department of Mathematics
Helwan University
Cairo, 11282, EGYPT
$^2$Department of Mathematics
Taif University
Taif, 888, SAUDI ARABIA


Abstract. This paper is devoted to give white noise functional solutions for stochastic cubic nonlinear Klein-Gordon equation. Abundant exact travelling wave solutions for Wick-type generalized stochastic Klein-Gordon equation are obtained. By using white noise analysis, Hermite transform, modified Riccati equation and modified tanh-coth method many exact travelling wave solutions are given. Detailed computations and implemented examples for the investigated model are explicitly provided.

Received: May 17, 2015

AMS Subject Classification: 60H30, 60H15, 35R60

Key Words and Phrases: white noise, stochastic, wick product, Klein-Gordon equations

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DOI: 10.12732/ijpam.v104i4.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 4
Pages: 523 - 532


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