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

Authors

  • Marcelo Lopes Ferro IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiania, GO, Brazil.
  • Armando M. V. Corro IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiania, GO, Brazil.

DOI:

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

Keywords:

Isothermic surfaces, Ribaucour transformations, Calapso equation, Zoomeron equation, Davey-Stewartson III equation.

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.

References

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Published

2023-12-27

How to Cite

Lopes Ferro, M., & V. Corro, A. M. (2023). Solutions to the Calapso, Zoomeron, and Davey-Stewartson III Equations using Ribaucour Transformations. Selecciones Matemáticas, 10(02), 299 - 309. https://doi.org/10.17268/sel.mat.2023.02.06

Issue

Vol. 10 No. 02 (2023): August - December

Section

Articles

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