Using construction of logarithm of a difference operator, we present the Lax pair formalism for certain extension of the continuous version of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solutions, and give an explicit formulation of the relationship between the CP1 topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter with certain extension of the nonlinear Schrodinger hierarchy.

The extended Toda hierarchy / Carlet, G.; Dubrovin, Boris; Zhang, Y. J.. - In: MOSCOW MATHEMATICAL JOURNAL. - ISSN 1609-3321. - 4:2(2004), pp. 313-332.

The extended Toda hierarchy

Dubrovin, Boris;
2004-01-01

Abstract

Using construction of logarithm of a difference operator, we present the Lax pair formalism for certain extension of the continuous version of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solutions, and give an explicit formulation of the relationship between the CP1 topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter with certain extension of the nonlinear Schrodinger hierarchy.
2004
4
2
313
332
https://www.ams.org/distribution/mmj/vol4-2-2004/cont4-2-2004.html
https://arxiv.org/abs/nlin/0306060
Carlet, G.; Dubrovin, Boris; Zhang, Y. J.
File in questo prodotto:
File Dimensione Formato  
extended_toda.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Non specificato
Dimensione 236.19 kB
Formato Adobe PDF
236.19 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14012
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 98
social impact