Seminar talk, 2 December 2015: Difference between revisions
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Created page with "{{Talk | speaker = Artur Sergyeyev | title = Construction of recursion operators for dispersionless integrable systems (work by Artur Sergyeyev) | abstract = The talk will dis..." |
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{{Talk | {{Talk | ||
| speaker = | | speaker = Stanislav Minkov | ||
| title = Construction of recursion operators for dispersionless integrable systems (work by Artur Sergyeyev) | | 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. | | 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. | ||
Latest revision as of 14:08, 28 November 2015
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.