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Reduction of a multidimensional poincare-invariant nonlinear equation to two-dimensional equations

โœ Scribed by A. F. Barannik; L. F. Barannik; V. I. Fushchich


Book ID
112473422
Publisher
Springer
Year
1991
Tongue
English
Weight
951 KB
Volume
43
Category
Article
ISSN
0041-5995

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We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a reduction of the associated dynamical partial differential equations to a system of ordinary differen