Liouville soliton surfaces obtained using Darboux transformations

Authors

S. C. Mancas, Embry-Riddle Aeronautical UniversityFollow
K. R. Acharya, Embry-Riddle Aeronautical UniversityFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

4-14-2023

Abstract/Description

We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liouville equation and Darboux-transformed counterparts. We also use a modified variation of parameters method together with the elliptic functions method to obtain the traveling wave solutions to Liouville equation and express the centroaffine invariant in terms of the soliton Hamiltonian.

Publication Title

arXiv

DOI

https://doi.org/10.48550/arXiv.2304.06885

Publisher

Cornell University

Scholarly Commons Citation

Mancas, S. C., & Acharya, K. R. (2023). Liouville soliton surfaces obtained using Darboux transformations. arXiv, (). https://doi.org/10.48550/arXiv.2304.06885