In:
Teoreticheskaya i Matematicheskaya Fizika, Steklov Mathematical Institute, Vol. 211, No. 1 ( 2022-4), p. 48-64
Abstract:
Based on a determining equation set and master function, we consider a Cauchy matrix scheme for three semidiscrete lattice Korteweg-de Vries-type equations. The Lax integrability of these equations is discussed. Various types of solutions, including soliton solutions, Jordan-block solutions, and mixed solutions are derived by solving the determining equation set. Specifically, we find $1$-soliton, $2$-soliton, and the simplest Jordan-block solutions for the semidiscrete lattice potential Korteweg-de Vries equation.
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