Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems
Mathematical Physics
2013-10-23 v2 Analysis of PDEs
math.MP
Abstract
New definitions of -conditional symmetry for systems of PDEs are presented, which generalize the standard notation of non-classical (conditional) symmetry. It is shown that different types of -conditional symmetry of a system generate a hierarchy of conditional symmetry operators. A class of two-component nonlinear RD systems is examined to demonstrate applicability of the definitions proposed and it is shown when different definitions of -conditional symmetry lead to the same operators.
Keywords
Cite
@article{arxiv.1005.3736,
title = {Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems},
author = {Roman Cherniha},
journal= {arXiv preprint arXiv:1005.3736},
year = {2013}
}
Comments
presented on the XIX-th International Colloquium 'Integrable Systems and Quantum Symmetries', Prague, 17-19 June, 2010