Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations (Q1407947)
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: Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1979644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1979644 |
Statements
Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations (English)
0 references
14 September 2003
0 references
The author derives the KdV-Burgers and higher-order nonlinear Schrödinger equations as an Euler-Poincaré flow on the joint space of Hill's and first-order differential operators on the circle. He also studies a quasi-Hamiltonian pair of involution equations one member of which is the KdV-Burgers equation.
0 references
differential operator
0 references
Korteweg-de Vries equation
0 references
nonlinear Schrödinger equation
0 references
group of diffeomorphisms
0 references
