TITLE:
Application of Classification of Traveling Wave Solutions to the Zakhrov-Kuznetsov-Benjamin-Bona-Mahony Equation
AUTHORS:
Li Yang
KEYWORDS:
The Nonlinear Partial Differential Equation, The Zakharov-Kuznetsov-Benjamin-Bona-Mahony Equation, Traveling Wave Transform, Complete Discrimination System for Polynomial, The Traveling Wave Solution
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.10,
June
3,
2014
ABSTRACT: In order to get the
traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM)
equation, it is reduced to an ordinary differential equation (ODE) under the
travelling wave transformation first. Then complete discrimination system for polynomial
is applied to the ZK-BBM equation. The traveling wave solutions of the equation
can be obtained.