Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

作者：

Highlights：

• An extended generalized Darboux transformation method is proposed.

• Three types of hybrid rogue wave and breather solutions are obtained for a classical nonlinear Schrodinger equation.

• The control and interaction of the hybrid wave solution are graphically demonstrated.

• An exact link is established between the hybrid solutions and the rogue wave solutions.

摘要

•An extended generalized Darboux transformation method is proposed.•Three types of hybrid rogue wave and breather solutions are obtained for a classical nonlinear Schrodinger equation.•The control and interaction of the hybrid wave solution are graphically demonstrated.•An exact link is established between the hybrid solutions and the rogue wave solutions.

论文关键词：Extended generalized Darboux transformation,Nonlinear Schrödinger system,Breather,Rogue wave,Hybrid wave solution

论文评审过程：Received 15 December 2018, Revised 31 March 2020, Accepted 14 June 2020, Available online 30 June 2020, Version of Record 30 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125469