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Your search keyword '"Tetsuya Kikuchi"' showing total 2 results
Start Over Author "Tetsuya Kikuchi" Journal glasgow mathematical journal
2 results on '"Tetsuya Kikuchi"'

1. SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION

Author

Tetsuya Kikuchi and Saburo Kakei

Subjects
Hierarchy (mathematics), General Mathematics, Mathematical analysis, Structure (category theory), Derivative, Reduction (complexity), symbols.namesake, Nonlinear system, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Similarity (network science), symbols, Nonlinear Schrödinger equation, Schrödinger's cat, Mathematics
Abstract

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

Published
2005
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