Published October 19, 2007 | Version v1
Journal article Metadata-only

A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair

Creators

  • 1. Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)
  • 2. Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Academia Sinica, PO Box 2719, Beijing 100080 (China)
  • 3. Dipartimento di Ingegneria Elettronica, Universita degli Studi Roma Tre and Sezione INFN, Roma Tre, Via della Vasca Navale, 84 00146 Roma (Italy)
  • 4. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501 (Japan)

Description

We consider a difference-difference Davey-Stewartson system together with its bilinear structure. We write some new Gram-type determinantal solutions taking into account a set of Jacobi identities for determinants. A bilinear Baecklund transformation is constructed and consequently a Lax pair for the discrete system is derived

Additional details

Identifiers

DOI
10.1088/1751-8113/40/42/S17;
PII
S1751-8113(07)40809-5;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
42
Journal Page Range
p. 12741-12751
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39012633
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BAECKLUND TRANSFORMATION; LAX THEOREM; MATHEMATICAL SOLUTIONS
Descriptors DEC
TRANSFORMATIONS