On a Discrete Davey-stewartson System
نویسندگان
چکیده
We propose a differential difference equation in R × Z and study it by Hirota’s bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation. The solutions of this discrete DS system are characterized by Casorati and Grammian determinants. Based on the bilinear form of this discrete DS system, we construct the bilinear Bäcklund transformation which enables us to obtain its Lax pair.
منابع مشابه
2 00 3 Conformal geometry of the ( discrete ) Schwarzian Davey - Stewartson II hierarchy
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