Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation

Chin. Phys. Lett.

2006, Vol. 23

Issue (9): 2349-2351 DOI:

Original Articles

Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation

ZHANG Da-Jun

Department of Mathematics, Shanghai University, Shanghai 200444

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ZHANG Da-Jun 2006 Chin. Phys. Lett. 23 2349-2351

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Abstract Solutions in the Grammian form for a non-isospectral Kadomtsev--Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Grammian are given. Non-isospectral dynamics of the solutions generated from the Grammian are investigated in an analytic way. The solutions obtained can describe line solitons in non-uniform media travelling with time-dependent amplitude and time-dependent direction. In addition, some other solutions have singularities.

Keywords: 02.30.Ik 05.45.Yv

Published: 01 September 2006

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I9/02349

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