332 citations · 392 across the 8 of their papers we have counts for
13 papers
Enlarged spectral problems and nonintegrability
Sergei Sakovich
The method of obtaining new integrable coupled equations through enlarging spectral problems of known integrable equations, which was recently proposed by W.-X. Ma, can produce non…
The short pulse equation is integrable
Anton Sakovich, Sergei Sakovich
We prove that the Schafer-Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses in nonlinear media is integrable. First, we discover a Lax…
Singularity analysis of a spherical Kadomtsev-Petviashvili equation
Ayse Karasu-Kalkanli, Sergei Yu. Sakovich
The (2+1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314:479-483 (2003)] fails the Painleve test for integrability at the highest reson…
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…