TY - JOUR AU - Sydorenko, Yu.M. AU - Chvartatskyi, O.I. PY - 2012/06/28 Y2 - 2024/03/29 TI - Matrix generalizations of integrable systems with Lax integro-differential representations: Array JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 4 IS - 1 SE - Scientific articles DO - UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3056 SP - 125-144 AB - <p>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.</p> ER -