Abstract
Two methods of obtaining particular solutions of nonlinear differential equations are reviewed. The first makes use of “conditional symmetries”, i.e. local Lie point transformations leaving a subset of solutions of an equation invariant. The second consists of adding further equations to the given one, so that the equation, together with the supplementary conditions, figures as compatibility conditions for an algebra of linear operators.
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A.V. Mikhailov and P. Winternitz, work in progress.
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© 1991 Springer-Verlag
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Winternitz, P. (1991). Conditional symmetries and conditional integrability for nonlinear systems. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_117
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DOI: https://doi.org/10.1007/3-540-54040-7_117
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