Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation
TANG Xiao-Yan1, LOU Sen-Yue1,2,3
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
Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation
TANG Xiao-Yan1;LOU Sen-Yue1,2,3
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
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.