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

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

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