Bäcklund transformations for nonlinear evolution equations: Hilbert space approach

Krzysztof Kowalski

Physica A: Statistical Mechanics and its Applications, 1993, vol. 198, issue 3, 493-502

Abstract: A new method of determining Bäcklund transformations for nonlinear partial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding Bäcklund transformations is brought down to the solution of an abstract equation in Hilbert space.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:198:y:1993:i:3:p:493-502

DOI: 10.1016/0378-4371(93)90236-W

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