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Euclid and Galilei Groups and Nonlinear PDEs for Scalar Fields

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 246))

Abstract

In the present chapter we describe a wide class of nonlinear PDEs for scalar fields invariant under Euclid, Galilei, or larger groups. For some of such equations we construct multiparameter families of exact solutions.

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© 1993 Springer Science+Business Media Dordrecht

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Fushchich, W.I., Shtelen, W.M., Serov, N.I. (1993). Euclid and Galilei Groups and Nonlinear PDEs for Scalar Fields. In: Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics. Mathematics and Its Applications, vol 246. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3198-0_3

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  • DOI: https://doi.org/10.1007/978-94-017-3198-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4244-6

  • Online ISBN: 978-94-017-3198-0

  • eBook Packages: Springer Book Archive

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