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2014 Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants
Yinghui He, Yun-Mei Zhao, Yao Long
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/578362

Abstract

The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest equation method and, the extended simplest equation method. The KdV-like wave equation was derived for solitary waves propagating on an interface (liquid-air) with wave motion induced by a harmonic forcing which is more appropriate for the study of thin film mass transfer. Thus finding the exact solutions of this equation is of great importance and interest. By these three methods, many new exact solutions of this equation are obtained.

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Yinghui He. Yun-Mei Zhao. Yao Long. "Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/578362

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131705
MathSciNet: MR3228133
Digital Object Identifier: 10.1155/2014/578362

Rights: Copyright © 2014 Hindawi

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