Symmetry Properties and Reduction of the Generalized Nonlinear System of Two-Phase Liquid Equations

DOI

10.2991/jnmp.1996.3.1-2.26How to use a DOI?

Abstract

Let us consider the multidimensional nonlinear system of heat equations u0 = f(v)u; v0 = u, (1) where u = u(x) R1, v = v(x) R1, x = (x0, x) R1+3, is the Laplace operator, f(v) is an arbitrary differentiable function. In this paper the classification of symmetry properties of equations (1) is investigated depending on the function f(v). In the case where the system (1) is invariant with respect to the conformal algebra AC(3), we use the symmetry to construct ansatzes and reduce this system to partial differential equations (PDE).

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  - L.O. Tulupova
PY  - 1996
DA  - 1996/05/01
TI  - Symmetry Properties and Reduction of the Generalized Nonlinear System of Two-Phase Liquid Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 214
EP  - 218
VL  - 3
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.1-2.26
DO  - 10.2991/jnmp.1996.3.1-2.26
ID  - Tulupova1996
ER  -