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arXiv · 1005.3736

Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems

Roman Cherniha
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Abstract

New definitions of $Q$-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 $Q$-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 $Q$-conditional symmetry lead to the same operators.

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Roman Cherniha. 2010-05-20. Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems. https://doi.org/10.1088/1751-8113/43/40/405207

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