Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation

Chin. Phys. Lett.

2006, Vol. 23

Issue (10): 2633-2636 DOI:

Original Articles

Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation

LOU Sen-Yue^1,2;LI Yi-Shen^1,3

¹Center of Nonlinear Science, Ningbo University, Ningbo 315211 ²Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 ³Department of Mathematics, and Center of Nonlinear Science, University of Science and Technology of China,Hefei 230026

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LOU Sen-Yue, LI Yi-Shen 2006 Chin. Phys. Lett. 23 2633-2636

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Abstract The weak Darboux transformation of the (2+1) dimensional Euler equation is used to find its exact solutions. Starting from a constant velocity field solution, a set of quite general periodic wave solutions such as the Rossby waves can be simply obtained from the weak Darboux transformation with zero spectral parameters. The constant vorticity seed solution is utilized to generate Bessel waves.

Keywords: 02.30.Jr 02.30.Ik 05.45.Yv

Published: 01 October 2006

PACS:	02.30.Jr	(Partial differential equations)
	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/I10/02633

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