Seminar talk, 2 December 2015

From Geometry of Differential Equations
Revision as of 14:08, 28 November 2015 by Verbovet (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Speaker: Stanislav Minkov

Title: Construction of recursion operators for dispersionless integrable systems (work by Artur Sergyeyev)

Abstract:
The talk will discuss Artur Sergyeyev's work arXiv:1501.01955 that presents a new method to construct the Lax pairs from recursion operators for a dispersionless equation and make an empiric observation that linear (in the spectral parameter) Lax pairs can give a recursion operator. Examples of Pavlov equation, heavenly equation and Alonso-Shabat equation will be discussed, with known Lax pair being made linear in the parameter by a change of variables. A few words will be told about the Hamiltonian structure of the heavenly equation.

Retrieved from "https://gdeq.org/index.php?title=Seminar_talk,_2_December_2015&oldid=3540"