Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation

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dc.creatorDemina, Maria V.
dc.creatorKudryashov, Nikolai A.
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:52:01Z
dc.date.available2026-07-07T06:52:01Z
dc.descriptionFourth - order analogue to the second Painlevé equation is studied. This equation has its origin in the modified Korteveg - de Vries equation of the fifth order when we look for its self - similar solution. All power and non - power expansions of the solutions for the fouth - order analogue to the second Painlevé equation near points $z=0$ and $z=\infty$ are found by means of the power geometry method. The exponential additions to solutions of the equation studied are determined. Comparison of the expansions found with those of the six Painlevé equations confirm the conjecture that the fourth - order analogue to the second Painlevé equation defines new transcendental functions.
dc.description34 pages, 8 figures; submitted to Chaos,Solitons & Fractals
dc.identifierhttps://arxiv.org/abs/nlin/0511045
dc.identifierhttp://arxiv.org/abs/nlin/0511045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105175
dc.subjectExactly Solvable and Integrable Systems
dc.titlePower and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation
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