On invariant subspaces for nonlinear finite-difference operators

DOI10.1017/S0308210500027335zbMath0920.35073MaRDI QIDQ4229277

Victor A. Galaktionov

Publication date: 11 April 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference schemenonlinear evolution equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Additive difference equations (39A10) Difference operators (39A70)

Related Items (2)

Generalized conditional symmetries of nonlinear differential-difference equations ⋮ Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators

Cites Work

• Unnamed Item
• New explicit solutions of quasilinear heat equations with general first-order sign-invariants
• New exact solutions of parabolic equations with quadratic non-linearities
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Symmetry-preserving difference schemes for some heat transfer equations
• Quasilinear heat equations with first-order sign-invariants and new explicit solutions
• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities

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