Matrix generalizations of integrable systems with Lax integro-differential representations

Yu. M. Sydorenko, O. I. Chvartatskyi


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.

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