On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems (Q1088224)
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: On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems |
scientific article; zbMATH DE number 3990438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems |
scientific article; zbMATH DE number 3990438 |
Statements
On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems (English)
0 references
1987
0 references
We show that the mere knowledge of a single symmetry propagator would suffice to construct the Lax operators for the inverse scattering scheme associated with an integrable physical system with one spatial dimension. This construction supplements in an important way the integrability test scheme of Chen, Lee and Liu. A discussion about the feasibility of the above scheme to the integrable systems with higher spatial dimensions is also presented.
0 references
single symmetry propagator
0 references
Lax operators
0 references
inverse scattering scheme
0 references
integrable systems
0 references
0 references
0 references
