Elliptic solutions to a generalized BBM equation

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Elliptic solutions to a generalized BBM equation

An approach is proposed to obtain some exact explicit solutions in terms of the Weierstrass’ elliptic function ℘ to a generalized Benjamin-Bona-Mahony (BBM) equation. Conditions for periodic and solitary wave like solutions can be expressed compactly in terms of the invariants of ℘. The approach unifies recently established ad-hoc methods to a certain extent. Evaluation of a balancing principle...

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Exact Solutions to a Generalized BBM Equation with Variable Coefficients

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Exact Solutions for a BBM(m,n) Equation with Generalized Evolution

In this paper, employed exp-function method and F-expansion method, we study the BBM(m,n) equation with generalized evolution, four families of exact solutions of exp-function type are obtained. Under different parametric conditions, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous resul...

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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2007

ISSN: 0375-9601

DOI: 10.1016/j.physleta.2006.11.088