Abstract
The Bäcklund transformations are revisited for the Harry Dym equation. The associated nonlinear superposition formula, which consists of two equations — one for the field variable and the other for the spatial variable, is also presented. Interpreted as discrete systems, nonlinear superposition formula is identified as the lattice potential modified Korteweg–de Vries equation and a special case of Q1 equation in the ABS list. A particular limit of the nonlinear superposition formula is considered and the resulting Bäcklund transformation is shown to be related to the finite transformation of the nonlocal symmetries.
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 callMore From: Partial Differential Equations in Applied Mathematics
Disclaimer: 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.
