Symmetry Analysis of the Multidimensional Polywave Equation

DOI

10.2991/jnmp.1996.3.3-4.28How to use a DOI?

Abstract

We present symmetry classification of the polywave equation 2l u = F(u). It is established that the equation in question is invariant under the conformal group C(1, n) iff F(u) = eu , n + 1 = 2l or F(u) = u(n+1+2l)/(n+1-2l) , n + 1 = 2l. Symmetry reduction for the biwave equation 22 u = uk is carried out. Some exact solutions 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  - Olena Roman
PY  - 1996
DA  - 1996/09/02
TI  - Symmetry Analysis of the Multidimensional Polywave Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 435
EP  - 440
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.28
DO  - 10.2991/jnmp.1996.3.3-4.28
ID  - Roman1996
ER  -