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- Title
A Note on Some Sub-Equation Methods and New Types of Exact Travelling Wave Solutions for Two Nonlinear Partial Differential Equations.
- Authors
Huiqun Zhang
- Abstract
Sub-equation methods are used for constructing exact travelling wave solutions of nonlinear partial differential equations. The key idea of these methods is to take full advantage of all kinds of special solutions of sub-equation, which is usually a nonlinear ordinary differential equation. We present a function transformation which not only gives us a clear relation among these sub-equation methods, but also can be used to obtain the general solutions of these sub-equations. And then new exact travelling wave solutions of the CKdV-MKdV equation and the CKdV equations as applications of this transformation are obtained, and the approach presented in this paper can be also applied to other nonlinear partial differential equations.
- Subjects
BESSEL functions; BESSEL polynomials; PARTIAL differential equations; DIFFERENTIAL equations; NONLINEAR partial differential operators; NONLINEAR operators
- Publication
Acta Applicandae Mathematicae, 2009, Vol 106, Issue 2, p241
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9292-5