332 citations · 392 across the 8 of their papers we have counts for
4 papers · 1 filter
Cyclic bases of zero-curvature representations: further examples
S. Yu. Sakovich
The paper continues nlin.SI/0212019 by giving three more examples of using cyclic bases of zero-curvature representations in studies of relation between strong Lax pairs and recurs…
On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy
S. Yu. Sakovich
Two generalized Harry Dym equations, recently found by Brunelli, Das and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy [J. Math. Phys. 4…
Transformation of a generalized Harry Dym equation into the Hirota--Satsuma system
S. Yu. Sakovich
The new generalized Harry Dym equation, recently introduced by Z. Popowicz in Phys. Lett. A 317, 260--264 (2003), is transformed into the Hirota--Satsuma system of coupled KdV equa…
On integrability of one third-order nonlinear evolution equation
S. Yu. Sakovich
We study one third-order nonlinear evolution equation, recently introduced by Chou and Qu in a problem of plane curve motions, and find its transformation to the modified Korteweg…