Abstract
In this work, two variants of the KdV6 equation are investigated. The first variant is a family of the KdV6 equation with arbitrary constant coefficients. The second variant is a KdV6 equation with time-varying coupling coefficients, power law nonlinearity and linear damping term. We make use of the soliton ansatz to determine the solitary wave as well as shock wave solutions for first model and the conditions of existence of solitons are presented. We proved the existence of soliton solutions for a generalized form of KdV6 equation with time-dependent coefficients under specific conditions.
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.
