Non-polynomial Third Order Equations which Pass the Painlevé Test
نویسندگان
چکیده
منابع مشابه
Non-polynomial third order equations which pass the Painlevé test
The singular point analysis of third-order ordinary differential equations in the nonpolynomial class are presented. Some new third order ordinary differential equations which pass the Painlevé test as well as the known ones are found.
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Painlevé and his school [1 – 3] studied the certain class of second order ordinary differential equations (ODEs) and found fifty canonical equations whose solutions have no movable critical points. This property is known as the Painlevé property. Distinguished among these fifty equations are six Painlevé equations, PI – PVI. The six Painlevé transcendents are regarded as nonlinear special funct...
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ژورنال
عنوان ژورنال: Zeitschrift für Naturforschung A
سال: 2004
ISSN: 1865-7109,0932-0784
DOI: 10.1515/zna-2004-0309