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.

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.

Coupled-channels calculations for the elastic and inelastic scattering of K+ at 715 MeV/c by 6Li and 12C at 635, 715 and 800 kaon Lab momenta have been analysed. The optical potentials of 12C and 6Li are calculated in terms of the alpha-particle and deuteron optical potentials. Good fits to the experimental data and phenomenological calculations are obtained for 6Li and 12C nuclei.