Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method
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.
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.
CitationActa Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, Volume 101, Numbers 1-3 / April, 2008. DOI: 10.1007/s10440-008-9197-3
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