变系数(2+1)维破裂孤立子方程的N-孤立子解及其应用

N-Soliton Solutions to the (2+1)-Dimensional Variable-coefficient Breaking Soliton Equation and its Application

利用Hirota方法和计算机符号计算,解决了变系数(2+1)维破裂孤立子方程的求解问题,并给出了N-孤立子解的解析解表达式.利用所得到的变系数(2+1)维破裂孤立子方程的多孤立子解析解,模拟出多孤立子随变系数函数变化时,多孤立子传播过程中的变化状态仿真图像;展示了多孤立子之间的相互作用.

By Hirota method and computer symbolic manipulation , the（2＋1）-dimensional variable-coefficient of breaking soliton equation is investigated. The expression of the analytical N-soliton solution to the （2＋1）-dimensional variable coefficient of breaking soliton equation is derived. Through the analytical multi-soliton solutions, emulational images of the multi-soliton solutions are set out. The fact that the shape of soliton wave will be affected when the variable-coefficients change is discussed. The mutual effect among N-solitions is shown.