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EXACT TRAVELING WAVE SOLUTIONS OF A HIGHER-DIMENSIONAL NONLINEAR EVOLUTION EQUATION

JONU LEE

College of Applied Science, Kyung Hee University, Yangin 446-701, South Korea

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RATHINASAMY SAKTHIVEL

Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea

Corresponding author.

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, and

LUWAI WAZZAN

Department of Mathematics, King Abdulaziz University, P. O. Box 80263, Jeddah 21589, Saudi Arabia

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https://doi.org/10.1142/S0217984910023062Cited by:43 (Source: Crossref)

Abstract

The exact traveling wave solutions of (4 + 1)-dimensional nonlinear Fokas equation is obtained by using three distinct methods with symbolic computation. The modified tanh–coth method is implemented to obtain single soliton solutions whereas the extended Jacobi elliptic function method is applied to derive doubly periodic wave solutions for this higher-dimensional integrable equation. The Exp-function method gives generalized wave solutions with some free parameters. It is shown that soliton solutions and triangular solutions can be established as the limits of the Jacobi doubly periodic wave solutions.

Keywords:

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