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Authors
Affiliations
1 Mathematics Department, Minia University, EG
2 Mathematics Department, Fayoum University, EG
Source
International Journal of Scientific Engineering and Technology, Vol 4, No 3 (2015), Pagination: 165-171
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.Β
πππ=Ξ¨(π,ππ,β¦ β¦ ..,Β βπ π/β ππ,ππ,β¦ β¦ β¦,β πΚΉπ/β ππΚΉ)
are studied and characterized. Some features and results on properties of these equations are given via this study.
Keywords
Evolution Equations, Pseudospherical Surfaces, Riemannian Manifold and Solitons.
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