Abstract
We present some motivations of the definition of integrability that come from the symmetry approach. The concept of formal symmetry will be discussed. The formal symmetry approach claims to answer the question whether a given PDE possesses higher symmetries and/or conservation laws. We can formulate necessary conditions only, but these conditions are so strong that they provide a possibility to classify integrable equations. All computations are algorithmic and for special cases a symbolic computer code for IBM-PC is available.
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© 1990 Kluwer Acadamic
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Mikhailov, A.V. (1990). A Concept of Integrability Based on the Symmetry Approach. In: Conte, R., Boccara, N. (eds) Partially Intergrable Evolution Equations in Physics. NATO ASI Series, vol 310. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0591-7_13
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DOI: https://doi.org/10.1007/978-94-009-0591-7_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6754-6
Online ISBN: 978-94-009-0591-7
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