Power solution expansions of the analogue tothe first Painleve equation

Simple item page
dc.creatorBruno, Aleksandr D.
dc.creatorKudryashov, Nikolai A.
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:51:58Z
dc.date.available2026-07-07T06:51:58Z
dc.descriptionThe fourth-order analog to the first Painlevé equation is studied. All power expansions for solutions of this equation near points $z=0$ and $z=\infty$ are found. The exponential additions to the expansion of solution near $z=\infty$ are computed. The obtained results confirm the hypothesis that the fourth-order analog of the first Painlevé equation determines new transcendental functions. By means of the methods of power geometry the basis of the plane lattice is also calculated.
dc.description27 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0511008
dc.identifierhttp://arxiv.org/abs/nlin/0511008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105161
dc.subjectExactly Solvable and Integrable Systems
dc.titlePower solution expansions of the analogue tothe first Painleve equation
dc.typetext

Files

Collections

arXiv