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Backlund transformation of the noncommutative Gelfand-Dickey hierarchy
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UNSPECIFIED (2004) Backlund transformation of the noncommutative Gelfand-Dickey hierarchy. JOURNAL OF HIGH ENERGY PHYSICS (2). -. ISSN 1029-8479.
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Abstract
We study the Backlund transformation of the noncommutative Gelfand-Dickey(ncGD) hierarchy. By factorizing its Lax operator into the multiplication form of first order differential operator, the noncommutative modified KdV(ncMKdV) hierarchy and the Miura transformations are defined. Our results show that the ncMKdV equations are invariant under the cyclic permutation, and hence induces the Backlund transformation of the ncGD hierarchy.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | JOURNAL OF HIGH ENERGY PHYSICS | ||||
Publisher: | INT SCHOOL ADVANCED STUDIES | ||||
ISSN: | 1029-8479 | ||||
Official Date: | February 2004 | ||||
Dates: |
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Number: | 2 | ||||
Number of Pages: | 11 | ||||
Page Range: | - | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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