ON THE DAVEY-STEWARTSON HIERARCHY: CONSTRUCTION BY TWO SCALAR PSEUDO-DIFFERENTIAL OPERATORS AND COMPATIBILITY FOR INFINITE MANY FLOWS

摘要

The infinite many symmetries of Davey-Stewartson (DS) system are closely connected to the integrable deformations of surfaces in a four-dimensional space. In this paper, we give a direct algorithm to construct the expression of the DS hierarchy by two scalar pseudo-differential operators involving partial derivatives.

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