The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation

• 作者: Emad A. Mohamed Medhat M. Helal Mohammad L. Mekky
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: CHARACTERISTIC FUNCTION Method Wu-Zhang EQUATION
• 年，卷（期）: yysxyw_2012,（1）
• 页码范围: 12-18
• 页数: 7页
• 分类号: O1

摘要

In this paper, the characteristic function method is applied to seek traveling wave solutions of nonlinear partial differential equations in a unified way. We consider the Wu-Zhang equation (which describes (1 + 1)-dimensional disper-sive long wave). The equations governing the wave propagation consist of a pair of non linear partial differential equations. The characteristic function method reduces the system of nonlinear partial differential equations to a system of nonlinear ordinary differential equations which is solved via the shooting method, coupled with Rungekutta scheme. The results include kink-profile solitary wave solutions, periodic wave solutions and rational solutions. As an illustrative example, the properties of some soliton solutions for Wu-Zhang equation are shown by some figures.