Research Abstract
The purpose of the present work is to construct new geometrical models for motion of plane curve by Dar-boux transformations. We get nonlinear partial differential equations (PDE). We have obtained the exact so-lutions 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.
Research Department
Research Journal
Applied Mathematics
Research Member
Research Publisher
Scientific Research
Research Rank
1
Research Vol
Vol 2
Research Website
http://www.SciRP.org/journal/am
Research Year
2011
Research Pages
pp. 666-675