The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations

DOI

10.2991/jnmp.1997.4.1-2.12How to use a DOI?

Abstract

The reduction of two nonlinear equations of the type □u+F(u, u1)u0 = 0 with respect to all rank three subalgebras of a subdirect sum of the extended Euclidean algebras A ~E(1) and A ~E(3) is carried out. Some new invariant exact solutions of these equations are obtained.

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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TY  - JOUR
AU  - Leonid Barannyk
AU  - Halyna Lahno
PY  - 1997
DA  - 1997/05/01
TI  - The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 78
EP  - 88
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.12
DO  - 10.2991/jnmp.1997.4.1-2.12
ID  - Barannyk1997
ER  -