Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation
Variable Separation Solutions for the (2+1)-Dimensional Burgers Equation
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DOI：
10.1088/0256-307x/20/3/306
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发表时间：
2003-03
影响因子：
3.5
通讯作者：
Xiaoyan Tang;S. Lou
中科院分区：
文献类型：
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作者：
Xiaoyan Tang;S. Lou
考虑到多线性变量分离方法已被证明对于求解许多 (2+1) 维可积系统非常有用，我们获得了具有任意数量的变量分离函数的 Burgers 方程的变量分离解。揭示了Y形孤子聚变现象。
Considering that the multi-linear variable separation approach has been proved 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.