Article ID Journal Published Year Pages File Type
1866415 Physics Letters A 2007 6 Pages PDF
Abstract

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 simplifies the application of this approach.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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