Year-end Sale % OFF 
Abstract
Solitons, breathers and rogue waves of the coupled Hirota system are investigated. To obtain these solutions, we construct the 4 × 4 Lax pair and Darboux transformation (DT). With zero backgrounds, we derive the one- and two-peak solitons. With non-zero and mixed backgrounds, we produce a family of the breather solutions and rational solutions for the purpose of describing the rogue waves. The second-order rogue-wave solutions on the mixed backgrounds are obtained. The existence and properties of bright-dark breathers and rogue waves are discussed. By adjusting the parameters in DT, we show the conversions between the bright breathers/rogue waves and the dark breathers/rogue waves in the course of evolution. We note that for such system if there is the modulation instability, it is of baseband type only.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications in Nonlinear Science and Numerical Simulation
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
