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Solutions to integrable space-time shifted nonlocal equations
- Publication Year :
- 2021
-
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.<br />Comment: 16 pages
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2107.04183
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/S0034-4877(22)00023-4