Abstract
The concept of non-local symmetries can be generalized by including pseudopotentials. The KdV-equation has in addition to the two well known hierarchies of Lie-Bäcklund symmetries three hierarchies of pseudopotential symmetries. One of these symmetries generates the solitary wave solution through the transformation of the trivial solution.
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© 1993 Springer Science+Business Media Dordrecht
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Galas, F. (1993). Pseudopotential Symmetries for Integrable Evolution Equations. In: Ibragimov, N.H., Torrisi, M., Valenti, A. (eds) Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2050-0_24
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DOI: https://doi.org/10.1007/978-94-011-2050-0_24
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