Noncommutative KP Hierarchy and Hirota Triple-Product Relations(General)
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概要
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We study τ-function representation of solutions and deformation of Hirota bilinear relations for a noncommutative Kadomtsev-Petviashvili (NC KP) hierarchy. An operator-valued τ-function representation of solutions for the NC KP hierarchy is presented. In contrast to the commutative case, the admissible τ-function satisfies an additional triangle-like relation. Furthermore, instead of the commutative Hirota bilinear relations, a set of triple-product relations such as Hirota triple-product differential/difference equations is found. Noncommutative deformation of multi-line soliton solutions of the NC KP hierarchy is also investigated. It is shown that for an arbitrary noncommutative parameter, the corresponding operator-valued τ-function in general is expressed in the form of infinite series.
- 社団法人日本物理学会の論文
- 2004-07-15
著者
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Wang Ning
Department Of Animal Science And Technology Northeast Agricultural University
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WANG Ning
Department of Anesthesiology, Jiangyin Hospital Affiliated to Medical College of South-East University
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