New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation

Author

Cao, DongBo ; Pan, LiuXian ; Yan, JiaRen

Author_Institution

Sch. of Comput. & Electron. Eng., Hunan Univ. of Commerce, Changsha, China

fYear

2011

fDate

8-11 Jan. 2011

Firstpage

1134

Lastpage

1137

Abstract

To obtain new exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation, with the aid of symbolic computation, the Korteweg-de Vries Burgers equation and Korteweg-de Vries equation are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained, and new exact traveling wave solutions are obtained for Korteweg-de Vries equation. The exact solutions for the nonlinear differential evolution equation are efficient and widely applicable.

Keywords

Korteweg-de Vries equation; initial value problems; nonlinear differential equations; Korteweg-de Vries Burgers equation; exact solutions; nonlinear differential evolution equation; symbolic computation; traveling wave solutions; trigonometric function transform method; Equations; Mathematical model; Partial differential equations; Software; Solitons; Transforms; KdV equation; KdV-Burgers equation; exact solutions; symbolic computation; the trigonometric function transform method;

fLanguage

English

Publisher

ieee

Conference_Titel

Management Science and Industrial Engineering (MSIE), 2011 International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4244-8383-9

Type

conf

DOI

10.1109/MSIE.2011.5707618

Filename

5707618