New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A2(1)-Reference-Cited by-同舟云学术

New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A2(1)

Published:2024-01-18 Issue:1 Volume:4 Page:81-96
ISSN:2673-8716
Container-title:Dynamics
language:en
Short-container-title:Dynamics

Author:

Stefanov Aleksander Aleksiev¹²^ORCID

Affiliation:

1. Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria

2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria

Abstract

We derive a new system of integrable derivative non-linear Schrödinger equations with an L operator, quadratic in the spectral parameter with coefficients belonging to the Kac–Moody algebra A2(1). The construction of the fundamental analytic solutions of L is outlined and they are used to introduce the scattering data, thus formulating the scattering problem for the Lax pair L,M.

Funder

Bulgarian National Science Foundation

Publisher

MDPI AG

Link

https://www.mdpi.com/2673-8716/4/1/5/pdf

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