Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber

作者:

Highlights:

• The coupled derivative nonlinear Schrödinger III model with applications in physics is studied.

• The N-fold generalized Darboux transformation with the limit approach is constructed.

• The general high-order rogue wave solutions of the coupled derivative nonlinear Schrödinger III equation are obtained.

• Rogue waves on multi-soliton and multi-breather backgrounds are found in particular.

• The dynamic behavior and interaction between rogue waves and solitons or breathers are revealed.

摘要

•The coupled derivative nonlinear Schrödinger III model with applications in physics is studied.•The N-fold generalized Darboux transformation with the limit approach is constructed.•The general high-order rogue wave solutions of the coupled derivative nonlinear Schrödinger III equation are obtained.•Rogue waves on multi-soliton and multi-breather backgrounds are found in particular.•The dynamic behavior and interaction between rogue waves and solitons or breathers are revealed.

论文关键词:Coupled derivative nonlinear Schrödinger III equation,N-fold generalized Darboux transformation,Multi-soliton and multi-breather,Higher-order rogue waves

论文评审过程:Received 26 February 2021, Revised 15 July 2021, Accepted 22 July 2021, Available online 4 August 2021, Version of Record 4 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126551