S-functions, reductions and hodograph solutions of the r-th dispersionless modified KP and Dym hierarchies
We introduce an S-function formulation for the recently found rth dispersionless modified KP and rth dispersionless Dym hierarchies, giving also a connection of these S-functions with the Orlov functions of the hierarchies. Then, we discuss a reduction scheme for the hierarchies that together with t...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51534 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/51534 |
| Access Level: | acceso abierto |
| Palavra-chave: | 51-73 Topological field-theory R-Matrix theory Integrable hierarchies Whitham hierarchy Additional symmetries Conformal-maps Dkp equation Tau-function Systems Deformations Física-Modelos matemáticos Física matemática |
| Resumo: | We introduce an S-function formulation for the recently found rth dispersionless modified KP and rth dispersionless Dym hierarchies, giving also a connection of these S-functions with the Orlov functions of the hierarchies. Then, we discuss a reduction scheme for the hierarchies that together with the S-function formulation leads to hodograph systems for the associated solutions. We consider also the connection of these reductions with those of the dispersionless KP hierarchy and with hydrodynamic-type systems. In particular, for the one-component and two-component reduction we derive, for both hierarchies, ample sets of examples of explicit solutions. |
|---|