On the Davey-Stewartson hierarchy: construction by two scalar pseudo-differential operators and compatibility for infinite many flows
Exactly Solvable and Integrable Systems
2022-05-17 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2101.07062,
title = {On the Davey-Stewartson hierarchy: construction by two scalar pseudo-differential operators and compatibility for infinite many flows},
author = {G. Yi and X. Liao},
journal= {arXiv preprint arXiv:2101.07062},
year = {2022}
}
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16 pages