Lagrangian and Hamiltonian structures for the constant astigmatism equation (Q2866168)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lagrangian and Hamiltonian structures for the constant astigmatism equation |
scientific article; zbMATH DE number 6237962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lagrangian and Hamiltonian structures for the constant astigmatism equation |
scientific article; zbMATH DE number 6237962 |
Statements
Lagrangian and Hamiltonian structures for the constant astigmatism equation (English)
0 references
13 December 2013
0 references
Lagrangian structure
0 references
Hamiltonian structure
0 references
Euler-Lagrange equation
0 references
bi-Hamiltonian structure
0 references
astigmatism equation
0 references
The authors find a Lagrangian representation and the corresponding Hamiltonian representation for the constant astigmatism equation. Using these representations and extra conservation law densities, they construct a first evolution commuting flow of third order. They also apply the recursion operator and present a second Hamiltonian structure. For the obtained bi-Hamiltonian structure this allows to replicate infinitely many local commuting flows and corresponding local conservation law densities.
0 references
