Symmetry and Nonlocal Ansatzes for Nonlinear Heat Equations

DOI

10.2991/jnmp.1995.2.3-4.11How to use a DOI?

Abstract

Operators of nonlocal symmetry are used to construct exact solutions of nonlinear heat equations In [1] the idea of constructing nonlocal symmetry of differential equations was proposed. By using this symmetry, we have suggested a method for finding new classes of ansatzes reducing nonlinear wave equations to systems of ordinary differential equations [2]. In the present paper, we apply this method to the nonlinear heat equation.

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  - Ivan Tsyfra
PY  - 1995
DA  - 1995/09/01
TI  - Symmetry and Nonlocal Ansatzes for Nonlinear Heat Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 312
EP  - 318
VL  - 2
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.3-4.11
DO  - 10.2991/jnmp.1995.2.3-4.11
ID  - Tsyfra1995
ER  -