Abstract
We consider a set of integrable M-coupled nonlinear Schrödinger (M-CNLS) equations, with arbitrary M arising in several physical contexts including nonlinear optics and atomic condensates. We employ the Kadomtsev–Petviashvili hierarchy reduction method for deriving the general vector rogue wave (RW) solution of the M-CNLS equations in a compact form. All orders of vector RWs can be written down from this general solution by fixing the parameters appropriately. Single, double, triple and quadruple vector RWs are obtained for focusing, defocusing and focusing–defocusing (mixed) M-CNLS systems. Especially, for the mixed M-CNLS system for the first time we report the RW doublet. In addition, we also identify several other intriguing multi-RW structures namely bright-dark composites, bright-dark triplets, bright-bright and bright-dark quartets.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.