Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations

DOI

10.2991/jnmp.2008.15.s3.9How to use a DOI?

Abstract

In this paper, the family of BBM equation with strong nonlinear dispersive B(m,n) is considered. We apply the classical Lie method of infinitesimals. The symmetry reductions are derived from the optimal system of subalgebras and lead to systems of ordinary differential equations. We obtain for special values of the parameters of this equation, many exact solutions expressed by various single and combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions (soliton, kink and compactons).

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - M.S. Bruzon
AU  - M. L. Gandarias
AU  - J. C. Camacho
PY  - 2008
DA  - 2008/10/01
TI  - Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 81
EP  - 90
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.9
DO  - 10.2991/jnmp.2008.15.s3.9
ID  - Bruzon2008
ER  -