q-Discretization of the two-dimensional Toda equations

K. Kajiwara; Ya Ohta; J. Satsuma

doi:10.1007/BF01017050

q-Discretization of the two-dimensional Toda equations

K. Kajiwara, Ya Ohta, J. Satsuma

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

4 Citations (Scopus)

Abstract

q-Discrete versions of the two-dimensional Toda molecule equation and the two-dimensional Toda lattice equation are proposed through the direct method. The Bäcklund transformation and the Lax pair of the former are obtained. Moreover, the reduction to the q-discrete cylindrical Toda equations is also discussed.

Original language	English
Pages (from-to)	668-674
Number of pages	7
Journal	Theoretical and Mathematical Physics
Volume	99
Issue number	3
DOIs	https://doi.org/10.1007/BF01017050
Publication status	Published - Jun 1 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01017050

Cite this

@article{5a8a92157ce74109982d8debb63c9f6d,

title = "q-Discretization of the two-dimensional Toda equations",

abstract = "q-Discrete versions of the two-dimensional Toda molecule equation and the two-dimensional Toda lattice equation are proposed through the direct method. The B{\"a}cklund transformation and the Lax pair of the former are obtained. Moreover, the reduction to the q-discrete cylindrical Toda equations is also discussed.",

author = "K. Kajiwara and Ya Ohta and J. Satsuma",

year = "1994",

month = jun,

day = "1",

doi = "10.1007/BF01017050",

language = "English",

volume = "99",

pages = "668--674",

journal = "Theoretical and Mathematical Physics(Russian Federation)",

issn = "0040-5779",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - q-Discretization of the two-dimensional Toda equations

AU - Kajiwara, K.

AU - Ohta, Ya

AU - Satsuma, J.

PY - 1994/6/1

Y1 - 1994/6/1

N2 - q-Discrete versions of the two-dimensional Toda molecule equation and the two-dimensional Toda lattice equation are proposed through the direct method. The Bäcklund transformation and the Lax pair of the former are obtained. Moreover, the reduction to the q-discrete cylindrical Toda equations is also discussed.

AB - q-Discrete versions of the two-dimensional Toda molecule equation and the two-dimensional Toda lattice equation are proposed through the direct method. The Bäcklund transformation and the Lax pair of the former are obtained. Moreover, the reduction to the q-discrete cylindrical Toda equations is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=34147103050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34147103050&partnerID=8YFLogxK

U2 - 10.1007/BF01017050

DO - 10.1007/BF01017050

M3 - Article

AN - SCOPUS:34147103050

SN - 0040-5779

VL - 99

SP - 668

EP - 674

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

IS - 3

ER -

q-Discretization of the two-dimensional Toda equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this