Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method
type: Item
instance of: scholarly article
title: Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method
zbMATH Open document ID: 0976.37040
DOI: 10.1007/BF02557341
author: A. I. Zenchuk
published in: Theoretical and Mathematical Physics
publication date: 2000-06-26T00:00:00Z
review text: This paper is devoted to Miura-type transformations for systems of nonlinear equations. More precisely the author considers nonlinear systems integrable by the \(\overline\partial\)-problem method using a generalized normalization function in the \(\overline\partial\)-problem. Some examples of these transformations for the Kadomtsev-Petviashvili equation are considered.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1465926
zbMATH Keywords: integrable systems
zbMATH Keywords: \(\overline\partial\)-problem
zbMATH Keywords: Miura-type transformations
zbMATH Keywords: Kadomtsev-Petviashvili equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: Construction of higher-dimensional nonlinear integrable systems and of their solutions
cites work: The non-local delta problem and (2+1)-dimensional soliton equations
cites work: Dual \(\overline\partial\)-problem, \((2+1)\)-dimensional integrable nonlinear evolution equations and their reductions
full work available at URL: https://doi.org/10.1007/bf02557341
OpenAlex ID: W2086372852
description: scientific article; zbMATH DE number 1465926