3 citations · 8 across the 4 of their papers we have counts for
5 papers
Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of -dimensional integrable equations,…
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…
A new bidirectional generalization of (2+1)-dimensional matrix k-constrained KP hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
We introduce a new bidirectional generalization of (2+1)-dimensional k-constrained KP hierarchy ((2+1)-BDk-cKPH). This new hierarchy generalizes (2+1)-dimensional k-cKP hierarchy,…
Additional reductions in the k-constrained modified KP hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
Additional reductions in the modified k-constrained KP hierarchy are proposed. As a result we obtain generalizations of Kaup-Broer system, Korteweg-de Vries equation and a modifica…
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-…