Solutions to the Calapso, Zoomeron, and Davey-Stewartson III Equations using Ribaucour Transformations

Ime, Universidade Federal De Goias, Caixa Postal 131, 74001-970, Goiania, Go, Brazil. ,Ime, Universidade Federal De Goias, Caixa Postal 131, 74001-970, Goiania, Go, Brazil. ,Marcelo Lopes Ferro,Armando M. V. Corro

doi:10.17268/sel.mat.2023.02.06

Ime, Universidade Federal De Goias, Caixa Postal 131, 74001-970, Goiania, Go, Brazil. , Ime, Universidade Federal De Goias, Caixa Postal 131, 74001-970, Goiania, Go, Brazil.

Open Access

https://doi.org/10.17268/sel.mat.2023.02.06

Copy DOI

Journal: Selecciones Matemáticas	Publication Date: Nov 30, 2023
License type: cc-by-nc

Abstract

In this paper, we present a method for obtaining solutions to the Calapso and Zoomeron equations using Ribaucour transformations. We provide explicit formulas for the solutions of these equations. By applying this method to the generalized cylinder, we provide new solutions of these equations, which are determined by a free function and by two other functions, each one defined in a given variable. As a consequence, we provide new solutions for the Davey-Stewartson III equation.

Full Text