IJPAM: Volume 87, No. 6 (2013)

A STUDY ON BIFURCATIONS OF TRAVELING WAVE
SOLUTIONS FOR THE GENERALIZED ZAKHAROV-
KUZNETSOV MODIFIED EQUAL WIDTH EQUATION

Asit Saha$^1$, Punam Kumari Prasad$^2$
$^{1,2}$Department of Mathematics
Sikkim Manipal Institute of Technology
Majitar, Rangpo, East-Sikkim, 737136, INDIA


Abstract. By using the theory of bifurcations of planar dynamical systems to the generalized Zakharov-Kuznetsov modified equal width equation, the existence of smooth and non-smooth solitary wave, kink and anti-kink wave, smooth and non-smooth periodic wave, and compacton is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above waves are given. Moreover, some explicit exact parametric representations of traveling wave solutions are determined.

Received: September 6, 2013

AMS Subject Classification: 34K18, 35C07, 76B25, 34C25

Key Words and Phrases: generalized Zakharov-Kuznetsov modified equal width equation, solitary wave, periodic wave, compacton

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DOI: 10.12732/ijpam.v87i6.8 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 6