变系数HNLS方程的呼吸子解与怪波解

Breather and rogue wave solutions to the variable-coefficient HNLS equation

对于变系数高阶非线性薛定谔(HNLS)方程,利用Hirota算子得到方程的双线性形式,进一步用双线性方法求解得到了方程的呼吸子解和怪波解。最后通过三维图和密度图形象地说明系数函数的变化对呼吸波和怪波传播的影响。

In this paper, the bilinear form of the variable-coefficient high-order nonlinear Schr9 dinger（ HNLS） equation is gained by using the Hirota operator. The bilinear method is used to obtain the breather and rogue-wave solutions of this equation. The influences of the coefficient functions on breather waves and the rogue waves are discussed graphically.