Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 81 - 90

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

Authors
M.S. Bruzon, M. L. Gandarias, J. C. Camacho
Corresponding Author
M.S. Bruzon
Available Online 22 October 2008.
DOI
https://doi.org/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).
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 100
Pages
81 - 90
Publication Date
2008/10
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2008.15.s3.9How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - M.S. Bruzon
AU  - M. L. Gandarias
AU  - J. C. Camacho
PY  - 2008
DA  - 2008/10
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  - https://doi.org/10.2991/jnmp.2008.15.s3.9
ID  - Bruzon2008
ER  -