Year: 2002
Type: conference-paper
Abstract: Links of factorization theory, supersymmetry and Darboux transformations as isospectral deformations of difference operators are considered in the context of soliton theory. The dressing chain equations for factorizing operators of a spectral problem are derived. The chain equations itselves yield nonlinear systems which closure generates solutions of the equations as well as of the nonlinear system if both operators of the correspondent Hirota bilinearization are covariant with respect to Darboux transformation which hence defines a symmetry of the nonlinear system as well as of these closed chains. Examples of Hirota and Nahm equations are specified. 1 Introduction. The growing interest to discrete models appeal to necessity to widen classes of symmetry structures of the correspondent nonlinear problems [1]. Such theories as conformal field result in set of equations to be investigated [2]. Next kind of problems contain solvable lattice models [3], [4].
Author: SERGIEI B. LEBLE
Institution: Gdańsk University of Technology
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1993864980