Abstract
In this paper, we mainly investigate the fractal-fractional Ablowitz–Kaup–Newell–Segur model, which is used to describe the propagation of the shallow wave water with unsmooth boundaries based on the conformable fractional derivative. A simple and powerful mathematical method is established to achieve the fractal traveling wave solutions for the fractal-fractional Ablowitz–Kaup–Newell–Segur model, which is variational reduced differential wave method. Finally, the geometric and physical properties of these fractal traveling wave solutions are elaborated by a number of three-dimensional graphics. The novel mathematical method provides a new idea for studying the fractal evolution models.
Sign-in/Register to access full text options 
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.
