Title :
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
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;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.278
