Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System

A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-Painlevé II equation which is linked, in turn, to the integrable Painlevé XXXIV equation. A nonlinear Schrödinger encapsu...

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Datum:2017
Hauptverfasser: Rogers, C., Clarkson, P.A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2017
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/148621
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System / C. Rogers, P.A. Clarkson // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 92 назв. — англ.

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