(2 + 1)维变系数Broer-Kaup方程的精确解与局域激发

Exact Solution and Local Excitation of (2 + 1)-Dimensional Variable Coefficient Broer-Kaup Equation

利用拓展的Riccati映射法对2 + 1维变系数BK方程进行了分析,得到了包含任意函数的精确解,通过对任意函数进行选取,得到了相关的局域激发结构。此方法在求解其他非线性偏微分方程上也有广泛应用。

The extended Riccati mapping method is used to analyze the 2 + 1 dimensional variable coefficient Broer-Kaup equation, and the exact solution containing any function is obtained. By selecting the arbitrary function, the relevant local excitation structure is obtained. This method is also widely used in solving other nonlinear partial differential equations.