Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy

Citation:

Qiufang LIU,Chuanzhong LI.Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy[J].Chinese Annals of Mathematics B,2019,40(3):457~468
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Authors:

Qiufang LIU; Chuanzhong LI

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11571192), the Natural Science Foundation of Ningbo (No.2015A610157) and K. C. Wong Magna Fund in Ningbo University.
Abstract: In this paper, the authors define the noncommutative constrained Kadomtsev-Petviashvili (KP) hierarchy and multi-component noncommutative constrained KP hierarchy. Then they give the recursion 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 the study of D-brane dynamics whose noncommutative coordinates emerge from limits of the M theory and string theory.

Keywords:

Recursion operator, Noncommutative constrained KP hierarchy,Multi-component noncommutative constrained KP hierarchy

Classification:

37K05, 37K10, 35Q53
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