This article is cited in 6 papers

Integration of the differential–difference sine-Gordon equation with a self-consistent source

B. A. Babajanov, A. K. Babadjanova, A. Sh. Azamatov

Al-Khorezmi Urgench State University, Urgench, Uzbekistan

Abstract: We use the inverse scattering theory to integrate the differential–difference sine-Gordon equation with a self-consistent source.

Keywords: differential–difference sine-Gordon equation, self-consistent source, discrete Dirac-type operator, scattering data, inverse scattering method.

MSC: 39A23; 35Q51; 34K13; 34K29

Received: 24.07.2021
Revised: 14.11.2021

DOI: 10.4213/tmf10152

 English version: Theoretical and Mathematical Physics, 2022, 210:3, 327–336

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