Solutions to integrable space-time shifted nonlocal equations
Exactly Solvable and Integrable Systems
2022-05-18 v1
Abstract
In this paper we present a reduction technique based on bilinearization and double Wronskians (or double Casoratians) to obtain explicit multi-soliton solutions for the integrable space-time shifted nonlocal equations introduced very recently by Ablowitz and Musslimani in [Phys. Lett. A, 2021]. Examples include the space-time shifted nonlocal nonlinear Schr\"odinger and modified Korteweg-de Vries hierarchies and the semi-discrete nonlinear Schr\"odinger equation. It is shown that these nonlocal integrable equations with or without space-time shift(s) reduction share same distributions of eigenvalues but the space-time shift(s) brings new constraints to phase terms in solutions.
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Cite
@article{arxiv.2107.04183,
title = {Solutions to integrable space-time shifted nonlocal equations},
author = {Shi-min Liu and Jing Wang and Da-jun Zhang},
journal= {arXiv preprint arXiv:2107.04183},
year = {2022}
}
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16 pages