Abstract
In this paper, we investigate the integrability aspects of the (2+1) dimensional coupled long dispersive wave (2LDW) equation introduced recently by Chakravarty, Kent, and Newman and establish its Painlevé (P-) property. We then deduce its bilinear form from the P analysis and use it to construct wave type solutions for the field variables. We then identify line solitons for the composite field variable “qr” which eventually helps to bring out the peculiar localization behavior of the system by generating localized structures (dromions) for the composite field from out of only one ghost soliton driving the boundary. We have then extended this analysis to multidromion solutions.
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.