A REDUCTIONmKdVMETHOD WITH SYMBOLIC COMPUTATION TO CONSTRUCT NEW DOUBLY-PERIODIC SOLUTIONS FOR NONLINEAR WAVE EQUATIONS

Zhenya Yan ()
Additional contact information
Zhenya Yan: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 05, 661-672

Abstract: Firstly twenty-four types of doubly-periodic solutions of the reductionmKdVequation are given. Secondly based on the reductionmKdVequation and its solutions, a systemic transformation method (called the reductionmKdVmethod) is developed to construct new doubly-periodic solutions of nonlinear equations. Thirdly with the aid of symbolic computation, we choose theKdVequation, the coupled variant Boussinesq equation and the cubic nonlinear Schrödinger equation to illustrate our method. As a result many types of solutions are obtained. These show that this method is simple and powerful to obtain more exact solutions including doubly-periodic solutions, soliton solutions and singly-periodic solutions to a wide class of nonlinear wave equations. Finally we further extended the method to a general form.

Keywords: Nonlinear wave equation; mKdVequation; the reductionmKdVequation method; doubly-periodic solution; soliton solution; singly-periodic solution; symbolic computation (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183103004814
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:14:y:2003:i:05:n:s0129183103004814

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183103004814

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().