Hierarchy of the matrix Burgers equations and integrable reductions in the Davey-Stewartson system

We investigate integrable reductions in the Davey-Stewartson model and introduce the hierarchy of the matrix Burgers equations. By using the method of nonlocal reductions in linear problems associated with the hierarchy of the Davey-Stewartson-II equations, we establish a nontrivial relation between...

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Bibliographic Details
Date:1998
Main Authors: Samoilenko, V. G., Sidorenko, Yu. M., Самойленко, В. Г., Сидоренко, Ю. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4959
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal