468 citations · 2.1k across the 70 of their papers we have counts for
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Integrable systems on symmetric spaces from a quadratic pencil of Lax operators
Rossen I. Ivanov
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…
NLS-type equations from quadratic pencil of Lax operators: negative flows
Rossen I. Ivanov
We formulate and study an integrable model of Nonlinear Schrödinger (NLS)-type through its Lax representation, where one of the Lax operators is quadratic and the other has a ratio…
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…
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…
Camassa-Holm cuspons, solitons and their interactions via the dressing method
Rossen Ivanov, Tony Lyons, Nigel Orr
A dressing method is applied to a matrix Lax pair for the Camassa-Holm equation, thereby allowing for the construction of several global solutions of the system. In particular solu…
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…