Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation

Chin. Phys. Lett.

2003, Vol. 20

Issue (3): 335-337 DOI:

Original Articles

Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation

TANG Xiao-Yan¹;LOU Sen-Yue^1,2,3

¹Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 ²School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia ³Department of Physics, Ningbo University, Ningbo 315211

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TANG Xiao-Yan, LOU Sen-Yue 2003 Chin. Phys. Lett. 20 335-337

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Abstract Considering that the multi-linear variable separation approach has been proven to be very useful to solve many (2+1)-dimensional integrable systems, we obtain the variable separation solutions of the Burgers equation with arbitrary number of variable separated functions. The Y-shaped soliton fusion phenomenon is revealed.

Keywords: 05.45.Yv 02.30.Jr 02.30.Ik

Published: 01 March 2003

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I3/0335

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