Explicit quasi-periodic solutions to the discrete derivative nonlinear Schrödinger equation
Year: 2026
Type: preprint
Abstract: Quasi-periodic solutions to the discrete derivative nonlinear Schrödinger equation are investigated. A Lax pair of the discrete integrable equation is derived, by which we obtain a nonlinear integrable symplectic map. Resorting to this map, the Riemann theta function expressions for discrete potentials are calculated. Consequently, we get the explicit solutions for the discrete derivative nonlinear Schrödinger equation, whose quasi-periodic properties are illustrated through the cases of genus one and genus two.
Source: arXiv (Cornell University)
Authors: Xu, Xiaoxue, Liu, Wei, Zhu, Junyi
Institution: Zhengzhou University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G8169637471, G8627863501
OpenAlex ID: W7223291596