SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION

SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION

The hierarchy structure of a derivative nonlinear Schrödinger equation is investigated in terms of the Sato-Segal-Wilson formulation. Special solutions are constructed as ratios of Wronski determinants. Relations to the Painlevé IV and the discrete Painlevé I are discussed by applying a similarity r...

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Veröffentlicht in:Glasgow mathematical journal 2005-06, Vol.47 (A), p.99-107
Hauptverfasser: KAKEI, SABURO, KIKUCHI, TETSUYA
Format: Artikel
Sprache:eng
Schlagworte:
35Q51
35Q55
37K10
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Zusammenfassung:The hierarchy structure of a derivative nonlinear Schrödinger equation is investigated in terms of the Sato-Segal-Wilson formulation. Special solutions are constructed as ratios of Wronski determinants. Relations to the Painlevé IV and the discrete Painlevé I are discussed by applying a similarity reduction.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089505002326