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2003 Nonlinearity 16 427-439 doi: 10.1088/0951-7715/16/2/304
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Recommended by P Deift
Abstract. The first five classical Painlevé equations are known to have solutions described by divergent asymptotic power series near infinity. Here, we prove that such solutions also exist for the infinite hierarchy of equations associated with the second Painlevé equation. Moreover, we prove that these are unique in certain sectors near infinity.
Mathematics Subject Classification: 33E17, 34M55
Print publication: Issue 2 (March 2003) |
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