Abundant soliton-type solutions to the new generalized KdV equation via auto-Backlund transformations and extended transformed rational function technique

This study investigates new soliton-type solutions to the new generalized KdV (ngKdv) equation. For this purpose, the homogeneous balance method is used to create Auto-Backlund transformations of the regarded equation and with the help of the transformations, abundant exact and explicit solutions have been found. We found complexiton solutions to the dealt equation by using the extended transformed rational function technique. We have also given the 3D graphics of the obtained solutions.

Automated summary

This study investigates new soliton-type solutions to the new generalized KdV equation and abundant exact and explicit solutions have been found using different methods. Complexiton solutions to the equation are also obtained by using the extended transformed rational function technique, and 3D graphics of the solutions are presented.