Solutions to integrable space-time shifted nonlocal equations

Autor:	Liu, Shi-min, Wang, Jing, Zhang, Da-jun
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/S0034-4877(22)00023-4
Popis:	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. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.04183 Zobrazit plný text záznamu View this record from Arxiv