Computation of Some Geometric Properties for New Nonlinear PDE Models

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DOI: 10.4236/am.2011.26088   PDF   HTML     5,173 Downloads   9,096 Views   Citations

Abstract

The purpose of the present work is to construct new geometrical models for motion of plane curve by Darboux transformations. We get nonlinear partial differential equations (PDE). We have obtained the exact solutions of the resulting equations using symmetry groups method. Also, the Gaussian and mean curvatures of Monge form of the soliton surfaces have been calculated and discussed.

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N. Abdel-All, M. Hamad, M. Abdel-Razek and A. Khalil, "Computation of Some Geometric Properties for New Nonlinear PDE Models," Applied Mathematics, Vol. 2 No. 6, 2011, pp. 666-675. doi: 10.4236/am.2011.26088.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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