Bäcklund transformations for higher order Painlevé equations
نویسندگان
چکیده
منابع مشابه
Bäcklund Transformations for Fourth Painlevé Hierarchies Pilar
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improved method of constructing BTs for hierarchies of ODEs. This approach is then applied to fourth Painlevé (PIV ) hierarchies recently found by the same authors [Publ. Res. Inst. Math. Sci. (Kyoto) 37 327–347 (2001)]. We ...
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Abstract We present a new generalized algorithm which allows the construction of Bäcklund transformations (BTs) for higher order ordinary differential equations (ODEs). This algorithm is based on the idea of seeking transformations that preserve the Painlevé property, and is applied here to ODEs of various orders in order to recover, amongst others, their autoBTs. Of the ODEs considered here, o...
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 2004
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2004.02.055