Abstract
In the present paper, we investigate a -dimensional nonlinear evolution equation, which can be used to describe the shallow-water waves. Via the Kadomtsev–Petviashvili hierarchy reduction, we derive the breather, semi-rational and rational solutions in terms of Gramian. The breathers are dark breathers. Taking the long wave limit in the breather solutions, we derive the semi-rational solutions describing the interactions between the lumps and breathers, and the rational solutions which give birth to the lumps are also derived. Interactions between the lumps and breathers are elastic. Furthermore, we graphically present the interactions among the dark lumps. We find that the interactions among the three lumps are elastic.
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 callDisclaimer: 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.
