Abstract
Under investigation in this work is a generalized bidirectional sixth-order Sawada–Kotera equation, which is very important in both nonlinear theory and physical application. The Lie symmetry analysis method is implemented to study the vector fields and optimal systems of the equation. Then its symmetry reductions and group invariant solutions are given by using the resulting optimal system, respectively. Furthermore, the explicit power series solutions of the equation are derived with their convergence analysis. Finally, by using the Bell’s polynomials, a straightforward way is presented to construct its bilinear form, solitary wave solution and periodic wave solution with detailed derivation.
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.
