Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces

Authors

Vladimir Gerdjikov, Bulgarian Academy of Sciences
Rossen Ivanov, Technological University DublinFollow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.1 MATHEMATICS, Pure mathematics, Applied mathematics

Publication Details

V.S. Gerdjikov and R.I. Ivanov, Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces, Nonlinearity 34 (2021) 939.

https://doi.org/10.1088/1361-6544/abcc4b

Abstract

Multi-component integrable generalizations of the Fokas-Lenells equation, associated with each irreducible Hermitian symmetric space are formulated. Description of the underlying structures associated to the integrability, such as the Lax representation and the bi-Hamiltonian formulation of the equations is provided. Two reductions are considered as well, one of which leads to a nonlocal integrable model. Examples with Hermitian symmetric spaces of all classical series of types A.III, BD.I, C.I and D.III are presented in details, as well as possibilities for further reductions in a general form.

DOI

https://doi.org/10.1088/1361-6544/abcc4b

Recommended Citation

Gerdjikov, V.S. & Ivanov, R.I. (2021) Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces, Nonlinearity 34 (2021) 939. DOI:10.1088/1361-6544/abcc4b