Deriving the New Traveling Wave Solutions for the Nonlinear Dispersive Equation, KdV-ZK Equation and Complex Coupled KdV System Using Extended Simplest Equation Method

作者：Elboree Mohammed K^*

来源：Communications in Theoretical Physics, 2015, 64(4): 379-390.

DOI：10.1088/0253-6102/64/4/379

• extended simplest equation
• nonlinear dispersive equation
• modified KdV-ZK equation
• complex coupled KdV system
• soliton solutions
• periodic solutions
• rational solutions

In this paper, we investigate the traveling wave solutions for the nonlinear dispersive equation, Korteweg-de Vries Zakharov-Kuznetsov (KdV-ZK) equation and complex coupled KdV system by using extended simplest equation method, and then derive the hyperbolic function solutions include soliton solutions, trigonometric function solutions include periodic solutions with special values for double parameters and rational solutions. The properties of such solutions are shown by figures. The results show that this method is an effective and a powerful tool for handling the solutions of nonlinear partial differential equations (NLEEs) in mathematical physics.

• 出版日期2015-10-1