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Integrable lattice hierarchies associated with two new (2+1)-dimensional discrete spectral problems
- Source :
- Physics Letters A. 373:3944-3951
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- In this Letter, by considering two new ( 2 + 1 ) -dimensional discrete linear spectral problems, new ( 2 + 1 ) -dimensional integrable lattice hierarchies are constructed. It is shown that the two new ( 2 + 1 ) -dimensional integrable lattice hierarchies are extensions (to nonisospectral and ( 2 + 1 ) -dimensional cases) of a ( 1 + 1 ) -dimensional 3-field lattice hierarchy of Zhang et al. and a ( 1 + 1 ) -dimensional 2-field lattice hierarchy due to Merola, Ragnisco and Tu. We also obtain new ( 1 + 1 ) -dimensional nonisospectral lattice hierarchies which include a nonisospectral relativistic Toda lattice hierarchy.
Details
- ISSN :
- 03759601
- Volume :
- 373
- Database :
- OpenAIRE
- Journal :
- Physics Letters A
- Accession number :
- edsair.doi...........239ec5ce886587a1975b9daf5c1a1dc5