Abstract
Under this work, we derive a new fractal unsteady Korteweg–de Vries model which can model the shallow water with the non-smooth boundary. The generalized fractal variational principle is constructed by employing the semi-inverse method and the fractal two-scale transform. In addition, we also investigate the abundant exact solutions by means of the sub-equation method. The impact of the fractal orders on the behaviors of the solutions is also discussed in detail. The obtained variational principle reveals the energy form of the conservation laws in the fractal space, and the obtained solutions can help the researchers to study the properties of the fractal solitary wave in the extremely small scale of time and space.
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.
