Rescaling Symmetry Flow of the Kadomtsev--Petviashvili Hierarchy

Chin. Phys. Lett.

2004, Vol. 21

Issue (12): 2327-2329 DOI:

Original Articles

Rescaling Symmetry Flow of the Kadomtsev--Petviashvili Hierarchy

WANG Ning

Department of Physics, Ocean University of China, Qingdao 266003

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WANG Ning 2004 Chin. Phys. Lett. 21 2327-2329

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Abstract We present a new symmetry flow of the Kadomtsev--Petviashvili (KP) hierarchy, which origins from the rescaling of whole "multi-time" valuables. This flow describes the deformation of solutions of the KP hierarchy with respect to a noncommutative parameter. It is shown that the introduced rescaling symmetry flow does not commute with the ordinary evolution flows of the KP hierarchy, but commutes with the evolution flows with respect to slow-variables.

Keywords: 02.30.Jr 02.30.Hq

Published: 01 December 2004

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Hq	(Ordinary differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I12/02327

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