This article is cited in 10 papers

Explicit Bäcklund transformations for multifield Schrödinger equations. Jordan generalizations of the Toda chain

S. I. Svinolupov, R. I. Yamilov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: Bäcklund transformations for multifield analogs of the nonlinear Schrödinger equation that correspond to unital Jordan algebras are found. These Bäcklund transformations are explicit invertible autotransformations and as a result they are very convenient for the construction of exact solutions. It is established that to these Bäcklund transformations there correspond integrable multifield discrete–differential equations that generalize the infinite Toda chain. A simple construction is given by means of which multifield analogs of the infinite Toda chain can be constructed from every unital Jordan algebra. New examples of such chains are given.

Received: 13.01.1993

 English version: Theoretical and Mathematical Physics, 1994, 98:2, 139–146

Bibliographic databases:

• 
• 
•