Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
Wen-Xiu Ma
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Keywords: Darboux transformation, self-consistent source equation, solitons, positons, negatons
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2003 Volume 72 Issue 12 Pages 3017-3019

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Abstract
A Darboux transformation is furnished for a Schrödinger self-consistent source equation, along with a solution formula. Soliton, positon and negaton solutions to the Schrödinger self-consistent source equation are further constructed. The resulting solutions resemble those of the KdV equation with self-consistent sources, but the space and time variables are involved in a slightly different manner.
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© The Physical Society of Japan 2003
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