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Innovative Research Publications IRP India

2015

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Pseudospherical Surfaces And Evolution Equations In Higher Dimensions, Innovative Research Publications Irp India, M.F. El-Sabbagh, K.R. Abdo Feb 2015

Pseudospherical Surfaces And Evolution Equations In Higher Dimensions, Innovative Research Publications Irp India, M.F. El-Sabbagh, K.R. Abdo

Innovative Research Publications IRP India

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 𝒖𝒙𝒕 = 𝝍(𝒖, 𝒖𝒙 , … … . . , 𝝏 π’Œπ’– 𝝏 𝒙 π’Œ , π’–π’š, … … … , 𝝏 π’ŒΚΉπ’– 𝝏 π’š π’ŒΚΉ ) are studied and characterized. Some features and results on properties of these equations are given via this study.