Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
The Nonlinear Schrödinger-Type Equations Reducible to the Second Painlevé Equation
Shunji Kawamoto
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1983 Volume 52 Issue 8 Pages 2613-2616

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Abstract
It is shown that similarity solutions of the nonlinear Schrödinger equation with inhomogeneous term satisfy the second Pianlevé equation, and a new nonlinear partial differential equation reducible to the second Painlevé equation can be derived through the similarity variables.
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