Elliptic solutions to a generalized BBM equation
Exactly Solvable and Integrable Systems
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.nlin/0607052,
title = {Elliptic solutions to a generalized BBM equation},
author = {J. Nickel},
journal= {arXiv preprint arXiv:nlin/0607052},
year = {2015}
}
Comments
11 pages, 2 tables, submitted to Phys. Lett. A