The Jacobin elliptic function expansion method for solitonic solutions to nonlinear partial differential equations with symbolic computation

Author

Xiqiang Zhao ; Weijun Sun

Author_Institution

Coll. of Math. Sci., Ocean Univ. of China, Qingdao, China

Volume

3

fYear

2011

fDate

26-28 July 2011

Firstpage

1410

Lastpage

1413

Abstract

In this paper, based on the computerized symbolic computation, the Jacobin elliptic function expansion method is improved for the solitonic solutions to nonlinear partial differential equations. A coupled KdV system of equations is chosen to illustrate the method, in which a simple transformation is used to simplify calculating process, and many new exact travelling wave solutions are obtained, especially the solutions involving fourth fourth power of Jacobin elliptic functions.

Keywords

Korteweg-de Vries equation; elliptic equations; nonlinear differential equations; nonlinear functions; partial differential equations; solitons; symbol manipulation; Jacobin elliptic function expansion method; computerized symbolic computation; coupled KdV system; nonlinear partial differential equation; solitonic solution; travelling wave solution; Educational institutions; Jacobian matrices; Mathematical model; Nonlinear equations; Partial differential equations; Physics; Jacobin elliptic function; solitonic solution; symbolic computation;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2011 Seventh International Conference on

Conference_Location

Shanghai

ISSN

2157-9555

Print_ISBN

978-1-4244-9950-2

Type

conf

DOI

10.1109/ICNC.2011.6022521

Filename

6022521