BACKLUND-TRANSFORMATIONS FOR NONLINEAR EVOLUTION-EQUATIONS - HILBERT-SPACE APPROACH

Authors
KOWALSKI K
Citation
K. Kowalski, BACKLUND-TRANSFORMATIONS FOR NONLINEAR EVOLUTION-EQUATIONS - HILBERT-SPACE APPROACH, Physica. A, 198(3-4), 1993, pp. 493-502
Citations number
8
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
198
Issue
3-4
Year of publication
1993
Pages
493 - 502
Database
ISI
SICI code
0378-4371(1993)198:3-4<493:BFNE-H>2.0.ZU;2-L
Abstract
A new method of determining Backlund transformations for nonlinear par tial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding Backlund transforma tions is brought down to the solution of an abstract equation in Hilbe rt space.