Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems
arXiv:1005.3736 · doi:10.1088/1751-8113/43/40/405207
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.
presented on the XIX-th International Colloquium 'Integrable Systems and Quantum Symmetries', Prague, 17-19 June, 2010
References in corpus (3)
Cited by in corpus (10)
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