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.
NUCCI, M.C. (1988). Pseudopotentials, Lax equations and Bäcklund transformations for non-linear evolution equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 21(1), 73-79 [10.1088/0305-4470/21/1/016].
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.File in questo prodotto:
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