Equations of Lax type with several brackets
ABSTRACT: In the present paper we introduce a new hierarchy, each equation of which is defined by several brackets of two pseudodifferential operators. We deal with some algebraic properties of these equations. In particular, we show that, as in the classic case, they are related to the presence of...
- Autores:
-
Velásquez Ossa, Raúl Eduardo
Felipe, Raúl
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/29349
- Acceso en línea:
- http://hdl.handle.net/10495/29349
https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272
- Palabra clave:
- Pseudodifferential operators
http://id.loc.gov/authorities/subjects/sh85108264
Ecuaciones
Equations
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
| Summary: | ABSTRACT: In the present paper we introduce a new hierarchy, each equation of which is defined by several brackets of two pseudodifferential operators. We deal with some algebraic properties of these equations. In particular, we show that, as in the classic case, they are related to the presence of an infinite sequence of first integrals. A new version of the Zakharov-Shabat type equations is proved. Formal solutions of this hierarchy are constructed using a “several brackets bilinear identity”. |
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