На 10 октомври 2025 г. (петък) от 13:00 часа в зала 578 на ИМИ-БАН и онлайн чрез платформата zoom ще се проведе съвместно заседание на семинара по Алгебра и логика и на семинара на секция “Диференциални уравнения и математическа физика”.
Доклад на тема
On Z5 reduction of soliton equations related to sl(5) algebra
ще изнесе
Владимир Герджиков (ИМИ-БАН),
съвместна работа с Б. Костадинов (ИМИ-БАН), С. Мишев (НБУ) и А. Стефанов (ФМИ-СУ).
Резюме: 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.
Линк към zoom-стаята на семинара:
Https://us02web.zoom.us/j/