Fine structure of matrix Darboux-Toda integrable mapping

A. N. Leznov; E. A. Yuzbashyan

doi:10.1016/S0375-9601(98)00135-2

Fine structure of matrix Darboux-Toda integrable mapping

A. N. Leznov, E. A. Yuzbashyan

School of Arts and Sciences, Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The matrix Darboux-Toda mapping is represented as a product of a number of commutative mappings. The matrix Davey-Stewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schrödinger system coincides with one of the mappings under necessary reduction conditions.

Original language	English (US)
Pages (from-to)	31-35
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	242
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(98)00135-2
State	Published - May 18 1998

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Keywords

Discrete symmetries of matrix nonlinear Schrödinger hierarchy
Matrix Darboux-Toda mapping

Access to Document

10.1016/S0375-9601(98)00135-2

Cite this

@article{16a6c75df2a1425abcd41ab7b9169275,

title = "Fine structure of matrix Darboux-Toda integrable mapping",

abstract = "The matrix Darboux-Toda mapping is represented as a product of a number of commutative mappings. The matrix Davey-Stewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schr{\"o}dinger system coincides with one of the mappings under necessary reduction conditions.",

keywords = "Discrete symmetries of matrix nonlinear Schr{\"o}dinger hierarchy, Matrix Darboux-Toda mapping",

author = "Leznov, {A. N.} and Yuzbashyan, {E. A.}",

year = "1998",

month = may,

day = "18",

doi = "10.1016/S0375-9601(98)00135-2",

language = "English (US)",

volume = "242",

pages = "31--35",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Fine structure of matrix Darboux-Toda integrable mapping

AU - Leznov, A. N.

AU - Yuzbashyan, E. A.

PY - 1998/5/18

Y1 - 1998/5/18

N2 - The matrix Darboux-Toda mapping is represented as a product of a number of commutative mappings. The matrix Davey-Stewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schrödinger system coincides with one of the mappings under necessary reduction conditions.

AB - The matrix Darboux-Toda mapping is represented as a product of a number of commutative mappings. The matrix Davey-Stewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schrödinger system coincides with one of the mappings under necessary reduction conditions.

KW - Discrete symmetries of matrix nonlinear Schrödinger hierarchy

KW - Matrix Darboux-Toda mapping

UR - http://www.scopus.com/inward/record.url?scp=18144450034&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18144450034&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(98)00135-2

DO - 10.1016/S0375-9601(98)00135-2

M3 - Article

AN - SCOPUS:18144450034

SN - 0375-9601

VL - 242

SP - 31

EP - 35

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

Fine structure of matrix Darboux-Toda integrable mapping

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this