Exact Solutions of Kundu Equation with Five Order Stronger Nonlinear Terms

Author

Lu, Dianchen ; Liu, Cuilian

Author_Institution

Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China

Volume

3

fYear

2009

fDate

21-22 May 2009

Firstpage

289

Lastpage

292

Abstract

In this paper,a generalized auxiliary equation method is used for constructing new periodic wave solutions for nonlinear Kundu equation with five order stronger nonlinear terms arising in mathematical physics. As a result, many exact traveling wave solutions are successfully obtained, including solitary solution, trigonometric function solutions, Weierstrass elliptic function solutions.ect. The method in the paper can also be applied to other nonlinear evolution equations.

Keywords

elliptic equations; functional analysis; nonlinear differential equations; partial differential equations; solitons; Weierstrass elliptic function solution; generalized auxiliary equation method; mathematical physics; nonlinear Kundu equation; nonlinear evolution equation; nonlinear partial differential equation; periodic wave solution; solitary solution; traveling wave solution; trigonometric function solution; Differential equations; Evolution (biology); Hydrodynamics; Hydrogen; Nonlinear equations; Partial differential equations; Physics; Plasma chemistry; Plasma waves; Schrodinger equation; Kundu equation; generalized auxiliary equation method; traveling wave solutions;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science, 2009. ICIC '09. Second International Conference on

Conference_Location

Manchester

Print_ISBN

978-0-7695-3634-7

Type

conf

DOI

10.1109/ICIC.2009.278

Filename

5168861