Work

Stationary Systems of the AKNS Hierarchy

Year: 2025

Type: article

Abstract: We investigate what we call stationary systems of the AKNS hierarchy, that is finite dimensional systems consisting of a stationary flow of the AKNS hierarchy and of all the lower flows of the hierarchy. We prove that all these systems are in fact classical separable Stäckel systems. We also present an explicit transformation from jet variables to separation coordinates that turns a stationary AKNS system into a corresponding Stäckel system. This transformation is obtained by comparing Lax representations of considered systems in jet and in separable coordinates.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-025-00346-w

Authors: Maciej Błaszak, Krzysztof Marciniak, Błażej M. Szablikowski

Institutions: Adam Mickiewicz University in Poznań, Linköping University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funder: Linköpings Universitet