Integrable systems on symmetric spaces from a quadratic pencil of lax operators

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Abstract

The article surveys the recent results on integrable systems arising from quadratic pencil of Lax operator L, with values in a Hermitian symmetric space. The counterpart operator M in the Lax pair defines positive, negative and rational flows. The results are illustrated with examples from the A.III symmetric space. The modeling aspect of the arising higher order nonlinear Schrödinger equations is briefly discussed.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
EditorsMichail D. Todorov
PublisherAmerican Institute of Physics Inc.
Edition1
ISBN (Electronic)9780735447202
DOIs
Publication statusPublished - 20 Nov 2023
Event14th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2022 - Hybrid, Albena, Bulgaria
Duration: 22 Jun 202227 Jun 2022

Publication series

NameAIP Conference Proceedings
Number1
Volume2953
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference14th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2022
Country/TerritoryBulgaria
CityHybrid, Albena
Period22/06/2227/06/22

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