The short pulse equation is integrable

Simple item page
dc.creatorSakovich, Anton
dc.creatorSakovich, Sergei
dc.date2004-09-19
dc.date.accessioned2026-07-07T05:35:58Z
dc.date.available2026-07-07T05:35:58Z
dc.descriptionWe 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 pair of the SPE which turns out to be of the Wadati-Konno-Ichikawa type. Second, we construct a chain of transformations which relates the SPE with the sine-Gordon equation.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/nlin/0409034
dc.identifierhttp://arxiv.org/abs/nlin/0409034
dc.identifierJ. Phys. Soc. Jpn. 74 (2005) 239-241
dc.identifierdoi:10.1143/JPSJ.74.239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80834
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectOptics
dc.titleThe short pulse equation is integrable
dc.typetext

Files

Collections

arXiv