The Korteweg–de-Vries equation on a noncommutative space-time

We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV equation are obtained from solutions of the KdV equation via a kind of Seiberg–Witten map. The ncKdV equation is related to a modified ncKdV equatio...

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Bibliographic Details
Published inPhysics letters. A Vol. 278; no. 3; pp. 139 - 145
Main Authors Dimakis, A., Müller-Hoissen, F.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 25.12.2000
Subjects
Deformation quantization
KdV
Noncommutative space-time
Solitons
11.10.Lm
Noncommutative space-time
Deformation quantization
05.45.Yv
Solitons
02.90.+p
02.30.Jr
KdV
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Summary:We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV equation are obtained from solutions of the KdV equation via a kind of Seiberg–Witten map. The ncKdV equation is related to a modified ncKdV equation by a noncommutative Miura transformation.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(00)00758-1