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Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy |
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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 |
Page view: 922
Net amount: 659 |
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. |
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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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