Browsing by Subject "Painlevé equations"

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    First-order second-degree equations related with Painlevé equations
    (World Academic Union (World Academic Press), 2009-01-15) Sakka, A.; Muğan, U.
    The first-order second-degree equations satisfying the Fuchs theorem concerning the absence of movable critical points, related with Painlev´e equations, and one-parameter families of solutions which solve the first-order second-degree equations are investigated.
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    Non-polynomial fourth order equations which pass the Painlevé test
    (Walter de Gruyter GmbH, 2005) Jrad, F.; Mugan, U.
    The singular point analysis of fourth order ordinary differential equations in the non-polynomial class are presented. Some new fourth order ordinary differential equations which pass the Painlevé test as well as the known ones are found. © 2005 Verlag der Zeitschrift für Naturforschung, Tübingen.
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    Third order differential equations with fixed critical points
    (2009) Adjabi, Y.; Jrad F.; Kessi, A.; Muǧan, U.
    The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ones are found. © 2008 Elsevier Inc. All rights reserved.