Geodesic
SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 99-107

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DOI

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.
DOI : 10.1017/S0017089505002326
Mots-clés : 35Q51, 35Q55, 37K10 
KAKEI, SABURO; KIKUCHI, TETSUYA. SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 99-107. doi: 10.1017/S0017089505002326
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     author = {KAKEI, SABURO and KIKUCHI, TETSUYA},
     title = {SOLUTIONS {OF} {A} {DERIVATIVE} {NONLINEAR} {SCHR\"ODINGER} {HIERARCHY} {AND} {ITS} {SIMILARITY} {REDUCTION}},
     journal = {Glasgow mathematical journal},
     pages = {99--107},
     year = {2005},
     volume = {47},
     number = {A},
     doi = {10.1017/S0017089505002326},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002326/}
}
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