Journal of Nonlinear Mathematical Physics

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Volume 5, Issue 1, February 1998, Pages 8 - 12

Classical and Nonclassical Symmetries of a Generalized Boussinesq Equation

Authors
M.L. Gandarias, M.S. Bruzon
Corresponding Author
M.L. Gandarias
Received 19 August 1997, Accepted 30 October 1997, Available Online 1 February 1998.
DOI
10.2991/jnmp.1998.5.1.2How to use a DOI?
Abstract

We apply the Lie-group formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized Boussinesq equation, which has the classical Boussinesq equation as an special case. We study the class of functions f(u) for which this equation admit either the classical or the nonclassical method. The reductions obtained are derived. Some new exact solutions can be derived.

Copyright
© 2006, 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 1
Pages
8 - 12
Publication Date
1998/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1998.5.1.2How to use a DOI?
Copyright
© 2006, 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/).

Cite this article

risenwbib
TY  - JOUR
AU  - M.L. Gandarias
AU  - M.S. Bruzon
PY  - 1998
DA  - 1998/02/01
TI  - Classical and Nonclassical Symmetries of a Generalized Boussinesq Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 8
EP  - 12
VL  - 5
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.1.2
DO  - 10.2991/jnmp.1998.5.1.2
ID  - Gandarias1998
ER  -