Local and nonlocal complex discrete and semi-discrete sine-Gordon equations and solutions
Exactly Solvable and Integrable Systems
2021-10-12 v1
Abstract
In this paper, local and nonlocal complex reduction of a discrete and a semi-discrete negative order Ablowitz-Kaup-Newell- Segur equations is studied. Cauchy matrix type solutions, including soliton solutions and Jordan-block solutions, for the resulting local and nonlocal complex discrete and semi-discrete sine-Gordon equations are constructed. Dynamics of 1-soliton solution are analyzed and illustrated.
Keywords
Cite
@article{arxiv.2110.05339,
title = {Local and nonlocal complex discrete and semi-discrete sine-Gordon equations and solutions},
author = {Xiao-bo Xiang and Wei Feng and Song-lin Zhao},
journal= {arXiv preprint arXiv:2110.05339},
year = {2021}
}
Comments
11 pages, 16 figures