Exact Solitary Wave and Periodic Wave Solutions of a Class of Higher-Order Nonlinear Wave Equations. (16th September 2015)

• Record Type: Journal Article
• Authors: Zhang, Lijun; Khalique, Chaudry Masood
• Other Names: Rush Kumar B. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-09-16
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/548606
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a generalized sixth-order KdV equation. We find the solvable lower-order subequations of a general related fourth-order ordinary differential equation involving only even order derivatives and polynomial functions of the dependent variable. It is shown that the exact solitary wave and periodic wave solutions of some high-order nonlinear wave equations can be obtained easily by using this algorithm. As examples, we derive some solitary wave and periodic wave solutions of the Lax equation, the Ito equation, and a general sixth-order KdV equation.