Abstract
The existence of p-dimensional Abelian Lie algebra of conditional symmetries admitted by 1st order systems of PDEs in p independent variables is discussed in detail. The link between Bäcklund transformations and conditional symmetries is investigated. The obtained results are applied to several examples of integrable and nonintegrable systems.
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© 1995 Springer Science+Business Media Dordrecht
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Grundland, A.M., Rideau, G. (1995). Conditional Symmetries for 1st Order Systems of PDES in the Context of the Clairin Method. In: Bertrand, J., Flato, M., Gazeau, JP., Irac-Astaud, M., Sternheimer, D. (eds) Modern Group Theoretical Methods in Physics. Mathematical Physics Studies, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8543-9_15
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DOI: https://doi.org/10.1007/978-94-015-8543-9_15
Publisher Name: Springer, Dordrecht
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