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nlin.SI2022★ 2 cited
Integrable negative flows of the Heisenberg ferromagnet equation hierarchy
Rossen I. Ivanov
We study the negative flows of the hierarchy of the integrable Heisenberg Ferromagnet model and their soliton solutions. The first negative flow is related to the so-called short p…
nlin.SI2021★ 11 cited
Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces
Vladimir S. Gerdjikov, Rossen I. Ivanov
Multi-component integrable generalizations of the Fokas-Lenells equation, associated with each irreducible Hermitian symmetric space are formulated. Description of the underlying s…
nlin.SI2019★ 10 cited
Riemann-Hilbert problem, integrability and reductions
Vladimir S. Gerdjikov, Rossen I. Ivanov, Aleksander A. Stefanov
The present paper is dedicated to integrable models with Mikhailov reduction groups Their Lax representation allows us to prove, that their solution is e…