Exp-function Method for Wick-type Stochastic Combined KdV-mKdV Equations

Authors

  • Hossam A. Ghany
  • M. Zakarya

Abstract

Exp-function method is proposed to present soliton and periodic wave solutions for variable coefficients combined KdV- mKdV equation. By means of Hermite transform and white noise analysis, we consider the variable coefficients and Wick-type stochastic combined KdV-mKdV equations. As a result, we can construct new and more general formal solutions. These solutions include exact stochastic soliton and periodic wave solutions.

Keywords: combined KdV-mKdV equation, Exp-function method, Wick product, Hermite transform, White noise.

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Published

2016-01-05

How to Cite

Ghany, H. A., & Zakarya, M. (2016). Exp-function Method for Wick-type Stochastic Combined KdV-mKdV Equations. ANGLISTICUM. Journal of the Association-Institute for English Language and American Studies, 3. Retrieved from https://anglisticum.org.mk/index.php/IJLLIS/article/view/695

Issue

Section

Volume 3, Conference Proceedings, Special Issue, 2013