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Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy |
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| Authors: | Qiufang LIU and Chuanzhong LI |
| Affiliation: | Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China. $^{2}$ Corresponding author. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China. and Corresponding author. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China. |
| Abstract: | In this paper, the authors define the noncommutative constrainedKadomtsev-Petviashvili (KP) hierarchy and multi-componentnoncommutative constrained KP hierarchy. Then they give therecursion operators for the noncommutative constrained KP (NcKP)hierarchy and multi-component noncommutative constrained KP (NmcKP)hierarchy. The authors hope these studies might be useful in thestudy of D-brane dynamics whose noncommutative coordinates emergefrom limits of the M theory and string theory. |
| Keywords: | Recursion operator Noncommutative constrained KP hierarchy Multi-component noncommutative constrained KP hierarchy |
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