Year-end Sale % OFF 
Abstract
To the family of higher order Korteweg–de Vries (KdV) equations a new family of higher order mKdV equations depending on a parameter η is constructed. They are connected by an η2-dependent Miura transformation. A Bäcklund transformation is also established. Furthermore, a new gauge transformation is associated to this Bäcklund transformation. It enables one to derive auto-Bäcklund transformations for the families of higher order η2-mKdV and KdV equations, respectively. For illustration, four generations of explicit solutions of the second order KdV equation are presented.
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.
