Journal of Nonlinear Mathematical Physics

Volume 4, Issue 1-2, May 1997, Pages 129 - 131

Reduction and Exact Solutions of the Monge-Ampere Equation

Authors
Oleg Leibov
Corresponding Author
Oleg Leibov
Available Online 1 May 1997.
DOI
10.2991/jnmp.1997.4.1-2.17How to use a DOI?
Abstract

On the basis of a subgroup structure of the Poincaré group P(1, 3) the ansatzes which reduce the Monge­Ampere equation to differential equations with fewer independent variables have been constructed. The corresponding symmetry reduction has been done. By means of the solutions of the reduced equations some classes of exact solutions of the investigated equation have been found.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 1-2
Pages
129 - 131
Publication Date
1997/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.1-2.17How 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

TY  - JOUR
AU  - Oleg Leibov
PY  - 1997
DA  - 1997/05/01
TI  - Reduction and Exact Solutions of the Monge-Ampere Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 129
EP  - 131
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.17
DO  - 10.2991/jnmp.1997.4.1-2.17
ID  - Leibov1997
ER  -