332 citations · 344 across the 4 of their papers we have counts for
4 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…