International Journal of Differential Equations

Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation

Jiangbo Zhou and Lixin Tian

Full-text: Open access

Abstract

We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation. For the focusing branch, we obtain hump-shaped and valley-shaped solitary-wave solutions and some periodic solutions. For the defocusing branch, the nonexistence of solitary traveling wave solutions is shown. Meanwhile, some periodic solutions are also obtained. The results presented in this paper supplement the previous results.

Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 582512, 16 pages.

Dates
Received: 5 May 2011
Accepted: 16 August 2011
First available in Project Euclid: 25 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485313249

Digital Object Identifier
doi:10.1155/2011/582512

Mathematical Reviews number (MathSciNet)
MR2847598

Zentralblatt MATH identifier
1239.34037

Citation

Zhou, Jiangbo; Tian, Lixin. Periodic and Solitary-Wave Solutions for a Variant of the $K(3,2)$ Equation. Int. J. Differ. Equ. 2011 (2011), Article ID 582512, 16 pages. doi:10.1155/2011/582512. https://projecteuclid.org/euclid.ijde/1485313249


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