International Journal of Scientific Engineering and Technology
  • Year: 2015
  • Volume: 4
  • Issue: 3

Pseudospherical Surfaces and Evolution Equations in Higher Dimensions

  • Author:
  • M.F. El-Sabbagh, K.R. Abdo1,
  • Total Page Count: 7
  • Page Number: 165 to 171

1Mathematics Department, Faculty of Science, Fayoum University

Mathematics Department, Faculty of Science, Minia University, Egypt

*Corresponding Email: khadegareda2011@yahoo.com

Online published on 28 March, 2017.

Abstract

In this paper, the study of evolution equations with two independent variables which are related to pseudospherical surfaces in R3, is extended to evolution equations with more than two independent variables. Equations of the type

are studied and characterized. Some features and results on properties of these equations are given via this study.

Keywords

Evolutionequations, Pseudospherical surfaces, Riemannian manifold and Solitons