Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method
Permanent lenke
https://hdl.handle.net/10037/2131Dato
2007-12-20Type
Journal articleTidsskriftartikkel
Peer reviewed
Forfatter
Kruglikov, BorisSammendrag
Many methods for reducing and simplifying differential equations are known. They provide
various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations
between them have been noticed and in this note a unifying approach will be discussed.
It is rather close to the differential constraint method, but we make this rigorous basing on
recent advances in compatibility theory of non-linear overdetermined systems and homological
methods for PDEs.
Beskrivelse
Dette er forfatternes aksepterte versjon.
This is the author’s final accepted manuscript.
Forlag
Springer NetherlandsSitering
Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, Volume 101, Numbers 1-3 / April, 2008. DOI: 10.1007/s10440-008-9197-3Metadata
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