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

Authors

  • V. G. Samoilenko
  • Yu. M. Sidorenko

Abstract

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 these equations and a system of matrix Burgers equations. In an explicit form, we present reductions of the Davey-Stewartson-II model that admit linearization.

Published

25.02.1998

Issue

Section

Research articles

How to Cite

Samoilenko, V. G., and Yu. M. Sidorenko. “Hierarchy of the Matrix Burgers Equations and Integrable Reductions in the Davey-Stewartson System”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 2, Feb. 1998, pp. 252–263, https://umj.imath.kiev.ua/index.php/umj/article/view/4959.