B\"acklund transformations for nonlinear evolution equations: Hilbert space approach
High Energy Physics - Theory
2009-10-22 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.hep-th/9212031,
title = {B\"acklund transformations for nonlinear evolution equations: Hilbert space approach},
author = {Krzysztof Kowalski},
journal= {arXiv preprint arXiv:hep-th/9212031},
year = {2009}
}
Comments
15 pages