Elliptic solutions to a generalized BBM equation

Details Elliptic solutions to a generalized BBM equation Elliptic solutions to a generalized BBM equation

2006-07-24

arxiv.org/abs/nlin/0607052v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 2 tables, submitted to Phys. Lett. A

Scientific paper

An approach is proposed to obtain some exact explicit solutions in terms of the Weierstrass' elliptic function $\wp$ 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 $\wp$. The approach unifies recently established ad-hoc methods to a certain extent. Evaluation of a balancing principle simplifies the application of this approach.

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