Work

Discrete Darboux system with self-consistent sources and its symmetric reduction

Year: 2021

Type: article

Abstract: The discrete non-commutative Darboux system of equations with self-consistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and the method of additional independent variables. Then the symmetric reduction of discrete Darboux equations with sources is presented. In order to provide a simpler version of the resulting equations we introduce the τ / σ form of the (commutative) discrete Darboux system. Our equations give, in continuous limit, the version with self-consistent sources of the classical symmetric Darboux system.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/abd814

Authors: Adam Doliwa, Runliang Lin, Zhe Wang

Institutions: University of Warmia and Mazury in Olsztyn, Tsinghua University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Narodowe Centrum Nauki, Narodowym Centrum Nauki

Awards: G4950436398, G849744709