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Application of Classification of Traveling Wave Solutions to the Zakhrov-Kuznetsov-Benjamin-Bona-Mahony Equation
Department of Mathematics, Northeast Petroleum University, Daqing, China
- 1 Department of Mathematics, Northeast Petroleum University, Daqing, China
Applied Mathematics·Volume 05 (2014)·Pages 1432–1436·Published 22 May 2014·DOI10.4236/am.2014.510135
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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.
KeywordsThe Nonlinear Partial Differential EquationThe Zakharov-Kuznetsov-Benjamin-Bona-Mahony EquationTraveling Wave TransformComplete Discrimination System for PolynomialThe Traveling Wave Solution
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