"Zykov, Sergej A." . . . "000324796000006" . "46" . "RIV/47813059:19610/13:#0000443" . "http://iopscience.iop.org/1751-8121/46/39/395203/" . "Journal of Physics A: Mathematical and Theoretical" . . . "constant astigmatism equation; bi-Hamiltonian structure"@en . "1"^^ . "Lagrangian and Hamiltonian structures for the constant astigmatism equation" . "84228" . "P(EE2.3.20.0002), P(GAP201/11/0356)" . "2"^^ . "1751-8113" . . "In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. We also apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows us to replicate infinitely many local commuting flows and corresponding local conservation law densities." . "RIV/47813059:19610/13:#0000443!RIV15-MSM-19610___" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "Lagrangian and Hamiltonian structures for the constant astigmatism equation"@en . "6"^^ . . . . "[7D9CC68DABE1]" . "10.1088/1751-8113/46/39/395203" . "Lagrangian and Hamiltonian structures for the constant astigmatism equation" . . . . "Lagrangian and Hamiltonian structures for the constant astigmatism equation"@en . . "39" . "Pavlov, Maxim V." . . "19610" . "In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. We also apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows us to replicate infinitely many local commuting flows and corresponding local conservation law densities."@en . . "Zykov, Sergej A." .