A joint meeting of the the Algebra and Logic Seminar and the Seminar of the Department of Differential Equations and Mathematical Physics will be held on October 10, 2025, (Friday), at 1:00 pm in Room 578 of IMI – BAS and online via Zoom.
A talk on
On Z5 reduction of soliton equations related to sl(5) algebra
will be delivered by
Vladimir Gerdjikov (IMI-BAS).
This is joint work with B. Kostadinov (IMI-BAS), S. Mishev (NBU), and A. Stefanov (FMU-SU).
Abstract: Recently a new approach to the integrable systems, extending and generalizing the ISM was formulated. It is based on an effective parametrization of the Riemann-Hilbert problem, which allows one to extend the class of Lax pairs and effectively derive only the corresponding NLEE as compatibility condition of two linear problems. This method is based on the possibility to treat the solution of the RHP as a fundamental analytic solution of the Lax pair, and then to apply the dressing Zakharov-Shabat method for deriving the soliton solutions of the NLEE. The aim of the present paper is to extend Mikhailov Z5 reduction group to the parametrization of the Z5 RHP. The NLEE that we obtained are dispersionless.
Published in Journal of Physics: Conference Series, Vol. 3002:(1), id. 012014, 14 pp.
Zoom link of the seminar:
Https://us02web.zoom.us/j/