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• W1982964462 abstract "We analyze the relationship of generalized conditional symmetries of evolution equations to the formal compatibility and passivity of systems of differential equations as well as to systems of vector fields in involution. Earlier results on the connection between generalized conditional invariance and generalized reduction of evolution equations are revisited. This leads to a no-go theorem on determining equations for operators of generalized conditional symmetry. It is also shown that up to certain equivalences there exists a one-to-one correspondence between generalized conditional symmetries of an evolution equation and parametric families of its solutions." @default.
• W1982964462 created "2016-06-24" @default.
• W1982964462 creator A5067443803 @default.
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• W1982964462 date "2011-07-01" @default.
• W1982964462 modified "2023-10-18" @default.
• W1982964462 title "Generalized conditional symmetries of evolution equations" @default.
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• W1982964462 doi "https://doi.org/10.1016/j.jmaa.2011.01.027" @default.
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