3 citations · 4 across the 2 of their papers we have counts for
2 papers
nlin.SI2013★ 1 cited
A new (1+1)-dimensional matrix k-constrained KP hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
We introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensio…
nlin.SI2012★ 3 cited
Matrix generalizations of integrable systems with Lax integro-differential representations
Oleksandr Chvartatskyi, Yuriy Sydorenko
We present (2+1)-dimensional generalizations of the k-constrained Kadomtsev-Petviashvili (k-cKP) hierarchy and corresponding matrix Lax representations that consist of two integro-…