Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
نویسندگان
چکیده
منابع مشابه
Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
The second Painlevé hierarchy is defined as the hierarchy of ordinary differential equations obtained by similarity reduction from the modified Korteweg-de Vries hierarchy. Its first member is the well-known second Painlevé equation, PII . In this paper we use this hierarchy in order to illustrate our application of the truncation procedure in Painlevé analysis to ordinary differential equation...
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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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ژورنال
عنوان ژورنال: Inverse Problems
سال: 1999
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/15/1/019