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• W2052043981 abstract "We exploit higher-order conditional symmetry to reduce initial-value problems for evolution equations to Cauchy problems for systems of ordinary differential equations (ODEs). We classify a class of fourth-order evolution equations which admit certain higher-order generalized conditional symmetries (GCSs) and give some examples to show the main reduction procedure. These reductions cannot be derived within the framework of the standard Lie approach, which hints that the technique presented here is something essential for the dimensional reduction of evolution equations." @default.
• W2052043981 created "2016-06-24" @default.
• W2052043981 creator A5032751349 @default.
• W2052043981 creator A5063642673 @default.
• W2052043981 date "2008-07-01" @default.
• W2052043981 modified "2023-09-26" @default.
• W2052043981 title "Symmetry Reduction and Cauchy Problems for a Class of Fourth-Order Evolution Equations" @default.
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• W2052043981 doi "https://doi.org/10.1088/0253-6102/50/1/06" @default.
• W2052043981 hasPublicationYear "2008" @default.
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