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.File in questo prodotto:
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