In:
Teoreticheskaya i Matematicheskaya Fizika, Steklov Mathematical Institute, Vol. 211, No. 3 ( 2022-6), p. 375-393
Abstract:
We study local and nonlocal complex reductions of a discrete negative-order Ablowitz-Kaup-Newell-Segur equation. For the resulting local and nonlocal complex discrete sine-Gordon equations, we construct solutions of the Cauchy matrix type, including soliton solutions and Jordan-block solutions. The dynamics of $1$-soliton solutions are analyzed and illustrated. Continuum limits of the resulting local and nonlocal complex discrete sine-Gordon equations are discussed.
Type of Medium:
Online Resource
ISSN:
0564-6162
,
2305-3135
Language:
Russian
Publisher:
Steklov Mathematical Institute
Publication Date:
2022
detail.hit.zdb_id:
2550628-6
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