It is shown how to generate both Lax equations and Backlund transformations for non-linear evolution equations using the concept of pseudopotentials associated with the properties of the Riccati equation. Several examples are given: modified Korteweg-de Vries, Harry Dym, Kaup-Kupershmidt and Sawada-Kotera equations.

Pseudopotentials, Lax equations and Bäcklund transformations for non-linear evolution equations

NUCCI, Maria Clara
1988

Abstract

It is shown how to generate both Lax equations and Backlund transformations for non-linear evolution equations using the concept of pseudopotentials associated with the properties of the Riccati equation. Several examples are given: modified Korteweg-de Vries, Harry Dym, Kaup-Kupershmidt and Sawada-Kotera equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/900965
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