Bäcklund transformations for nonlinear evolution equations: Hilbert space approach

Details Bäcklund transformations for nonlinear evolution equations: Hilbert space approach Bäcklund transformations for nonlinear evolution equations: Hilbert space approach

1992-12-04

arxiv.org/abs/hep-th/9212031v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/0378-4371(93)90236-W

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

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