The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation
The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation作者机构：不详
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2012年第3卷第1期
页 面：12-18页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Characteristic Function Method Wu-Zhang Equation
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.
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