TITLE:
On the Semi-Discrete Davey-Stewartson System with Self-Consistent Sources
AUTHORS:
Gegenhasi
KEYWORDS:
Differential-Difference Davey-Stewartson System, Source Generalization Procedure, Discrete Gram-Type Determinant, Casorati-Type Determinant
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.5,
May
11,
2015
ABSTRACT: A differential-difference Davey-Stewartson
system with self-consistent sources is constructed using the source generation
procedure. We observe how the resulting coupled discrete system reduces to the
identities for determinant by presenting the Gram-type determinant solution and
Casorati-type determinant solution.