Singularity analysis of a spherical Kadomtsev-Petviashvili equation

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dc.creatorKarasu-Kalkanli, Ayse
dc.creatorSakovich, Sergei Yu.
dc.date2004-04-19
dc.date2004-07-20
dc.date.accessioned2026-07-07T05:35:29Z
dc.date.available2026-07-07T05:35:29Z
dc.descriptionThe (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 resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1+1)-dimensional reduction, which is detected by the Weiss method of truncated singular expansions.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/nlin/0404037
dc.identifierhttp://arxiv.org/abs/nlin/0404037
dc.identifierJ. Phys. Soc. Jpn. 74 (2005) 505-507
dc.identifierdoi:10.1143/JPSJ.74.505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80712
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectPlasma Physics
dc.titleSingularity analysis of a spherical Kadomtsev-Petviashvili equation
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