Bäcklund transformations for nonlinear evolution equations: Hilbert space approach
arXiv:hep-th/9212031 · doi:10.1016/0378-4371(93)90236-W
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.
arXiv comment15 pages