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 Backlund transformation is constructed and consequently a Lax pair for the discrete system is derived.

Gegenhasi, ., Hu, X.b., Levi, D., Tsujimoto, S. (2007). A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(42), 12741-12751 [10.1088/1751-8113/40/42/S17].

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

LEVI, Decio;
2007-01-01

Abstract

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 Backlund transformation is constructed and consequently a Lax pair for the discrete system is derived.
Gegenhasi, ., Hu, X.b., Levi, D., Tsujimoto, S. (2007). A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(42), 12741-12751 [10.1088/1751-8113/40/42/S17].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/155505
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