Fractal Solutions of the Nizhnik-Novikov-Veselov Equation

Chin. Phys. Lett.

2002, Vol. 19

Issue (6): 769-771 DOI:

Original Articles

Fractal Solutions of the Nizhnik-Novikov-Veselov Equation

LOU Sen-Yue^1,2;TANG Xiao-Yan¹;CHEN Chun-Li¹

¹Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 ²Department of Physics, Ningbo University, Ningbo 315211

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LOU Sen-Yue, TANG Xiao-Yan, CHEN Chun-Li 2002 Chin. Phys. Lett. 19 769-771

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Abstract Considering that some types of fractal solutions may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation. The static eagle shape fractal solutions, fractal dromion solutions and the fractal lump solutions are given in detail.

Keywords: 05.45.Yv 05.45.-a 02.30.Ik

Published: 01 June 2002

PACS:	05.45.Yv	(Solitons)
	05.45.-a	(Nonlinear dynamics and chaos)
	02.30.Ik	(Integrable systems)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I6/0769

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