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nlin.SI2004★ 332 cited
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…
nlin.SI2004★ 5 cited
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…