Physics – Mathematical Physics
Scientific paper
2010-05-20
J. Phys. A: Math. Theor. 43 (2010) 405207
Physics
Mathematical Physics
presented on the XIX-th International Colloquium 'Integrable Systems and Quantum Symmetries', Prague, 17-19 June, 2010
Scientific paper
10.1088/1751-8113/43/40/405207
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.
Cherniha Roman
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