Matrix generalizations of integrable systems with Lax integro-differential representations

Authors

  • Yu.M. Sydorenko Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • O.I. Chvartatskyi Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

matrix integrable systems, Lax integro-differential representations, matrix Burgers equations
Published online: 2012-06-28

Abstract

We found matrix integro-differential Lax representations for Davey-Stewartson systems (DS-I, DS-II, DS-III), $(2+1)$-dimensional generalizations of Chen-Lee-Liu equation and its higher symmetries. In particular, we obtain $(2+1)$-dimensional generalizations of modified Korteweg-de Vries equation, Nizhnik equation and so etc. We also propose some matrix multidimensional generalizations of Burgers equation.

How to Cite
(1)
Sydorenko, Y.; Chvartatskyi, O. Matrix Generalizations of Integrable Systems With Lax Integro-Differential Representations. Carpathian Math. Publ. 2012, 4, 125-144.