IJPAM: Volume 14, No. 2 (2004)

EXACT SOLUTIONS TO THE (3+1)-DIMENSIONAL
POTENTIAL KdV-ZAKHAROV-KUZNETSOV
(P-KdV-Z-K) EQUATION

De-Sheng Li$^1$, Cheng-Xin Luo$^2$, Zhen-Sheng Yu$^3$, Feng Gao$^4$
$^1$Science School
Shenyang University of Technology
Shenyang, 110023, P.R. CHINA
e-mail: lds_6638@163.com
$^2$Department of Mathematics
Shenyang Normal University
Shenyang, 110034, P.R. CHINA
$^{3,4}$Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA


Abstract.In this paper, by combining Fan's extended tanh-function method with Gao's generalized tanh-function method, and with the aid of symbolic computation system Maple, we obtain a large number of new exact solutions of (3+1)-dimensional potential KdV-Z-K equation.

Received: April 10, 2004

AMS Subject Classification: 35C05, 35L05, 35Q51

Key Words and Phrases: (3+1)-dimensional potential KdV-Zakharov-Kuznetsov equation, extended tanh-function method, generalized hyperbolic-function method, symbolic computation system Maple, exact solutions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 14
Issue: 2