Abstract and Applied Analysis

New Exact Solutions for the ( 2 + 1 ) -Dimensional Broer-Kaup-Kupershmidt Equations

Ming Song, Shaoyong Li, and Jun Cao

Full-text: Open access

Abstract

We investigate the ( 2 + 1 ) -dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 652649, 9 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170930

Digital Object Identifier
doi:10.1155/2010/652649

Mathematical Reviews number (MathSciNet)
MR2746008

Zentralblatt MATH identifier
1216.35125

Citation

Song, Ming; Li, Shaoyong; Cao, Jun. New Exact Solutions for the $(2+1)$ -Dimensional Broer-Kaup-Kupershmidt Equations. Abstr. Appl. Anal. 2010 (2010), Article ID 652649, 9 pages. doi:10.1155/2010/652649. https://projecteuclid.org/euclid.aaa/1313170930


Export citation