Matrix generalizations of integrable systems with Lax integro-differential representations

Yu. M. Sydorenko, O. I. Chvartatskyi

Abstract


We found matrix integro-differential Lax representations for Davey-Stewartson systems (DSI, 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.

Full Text: PDF (Українська)
3 :: 4

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.