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Elliptic solutions to a generalized BBM equation

J. Nickel
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Abstract

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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J. Nickel. 2006-07-24. Elliptic solutions to a generalized BBM equation. https://doi.org/10.1016/j.physleta.2006.11.088

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