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-Yue1,2;LI Yi-Shen1,3
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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