Liouville soliton surfaces obtained using Darboux transformations

Autor:	Mancas, S. C., Acharya, K. R., Rosu, H. C.
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics
Zdroj:	Physica Scripta 98, 075227 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1088/1402-4896/acdda9
Popis:	In this paper, Liouville soliton surfaces based on some soliton solutions of the Liouville equation are constructed and displayed graphically, including some of those corresponding to Darboux-transformed counterparts. We find that the Liouville soliton surfaces are centroaffine surfaces of Tzitzeica type and their centroaffine invariant can be expressed in terms of the Hamiltonian. The traveling wave solutions to Liouville equation from which these soliton surfaces stem are also obtained through a modified variation of parameters method which is shown to lead to elliptic functions solution method. Comment: 11 pages, 5 figures, 21 references, matches published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.06885 Zobrazit plný text záznamu View this record from Arxiv