IJPAM: Volume 41, No. 5 (2007)

THE COMPACT AND NONCOMPACT STRUCTURES FOR
GENERALIZED CAMASSA-HOLM-KP AND
BOUSSINESQ EQUATIONS

Yi Zhang$^1$, Jibiao He$^2$, Shaoyong Lai$^3$
$^{1,3}$Department of Economical Mathematics
Southwestern University of Finance and Economics
Chengdu, 610074, P.R. CHINA
$^3$e-mail: laishaoy@swufe.edu.cn
$^2$Department of Mathematics
Mianyang Normal University
Mianyang, Sichuan, 621000, P.R. CHINA
$^1$Basic Education Department
Yibin Vocational and Technical College
Yibin, 644000, P.R. CHINA


Abstract.The aim of this paper is to investigate two generalized nonlinear Boussinesq equations in (1+1) dimensional space and two modified nonlinear Camassa-Holm-KP equations in (2+1) dimensional space. The compactons, solitons, solitary patterns and periodic solutions for each of the equations are expressed analytically under various circumstances. The qualitative change in the physical structures of the solutions is also analyzed.

Received: July 15, 2007

AMS Subject Classification: 35Q20

Key Words and Phrases: generalized Boussinesq equations, Camassa-Holm-KP equations, compactons, solitons, variants, periodic solutions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 5