(1+1)维Mukherjee-Kundu方程的加速怪波解和呼吸子解

Accelerated Rogue Wave and Breather Solutions ofthe (1+1)-Dimensional Mukherjee-Kundu Equation

应用符号计算方法研究了(1+1)维Mukherjee-Kundu方程的加速怪波解。此加速怪波解中包含一个任意的函数q(x),从而可以产生一系列拓扑性质。通过数值模拟,系统地分析了扭结波-怪波、孤子-怪波和周期波-怪波的动力学行为,并得到了(1+1)维Mukherjee-Kundu方程的Ma呼吸子解和Akhmediev呼吸子解。

Accelerated rogue wave solution of the(1+1)-demensional Mukherjee-Kundu equation was investigated by extending the ansatz of the higher-order rogue wave solution.It is significant that the accelerated rogue wave solution possesses an arbitrary function q(x),which generates some intriguing topology characteristics.In particular,the dynamical behaviors of the kink-rogue wave,the soliton-rogue wave and the periodic-rogue wave were systematically analyzed via numerical simulations.Moreover,the Ma breather and the Akhmediev breather solutions of the(1+1)-dimensional Mukherjee-Kundu equation were obtained.