In the present paper, the Sawada–Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada–Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada–Kotera equation are investigated. Our results show that symmetry analysis is a very efficient and powerful technique in finding the solution of the proposed equat...

In present paper, the Sharma-Tasso-Olever (STO) equation is considered by the Lie symmetry analysis. All of the geometric vector fields to the STO equation are obtained, then the symmetry reductions and exact solutions of the STO equation are investigated. Our results witness that symmetry analysis was very efficient and powerful technique in finding the solutions of the proposed equation.

In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All geometry vector fields of KdV equations are presented. Using transformation CDG reduced into ordinary differential equations. These ODEs power series method to obtain exact solution. The convergence also discussed.

We carried out a Lie group study of the micro-Raman tissue spectra of the Gurken gradients of Drosophila oogenesis. (2×2) matrix representations resulting from the polarized Raman scattering were employed to assess the roles of the Dally-like protein (Dlp) in follicle cell. It was found that the Gurken expansion caused by over-expressing Dlp revealed a X1 Lie point symmetry, while the Gurken di...

These notes provide a detailed account of the universal structure of superpotentials defining a large class of superconformal Chern–Simons theories with matter, many of which appear as the low-energy descriptions of multiple M2-brane configurations. The amount of superconformal symmetry in the Chern–Simons-matter theory determines the minimum amount of global symmetry that the associated quarti...

In this paper the classical Lie group formalism is applied to deduce new classes of solutions of a less studied nonlinear partial differential equation (nPDE) of the third order. The nPDE under consideration is closely related to motions of plane curves. Up to now no carefully performed symmetry analysis is available. Therefore we determine the classical Lie point symmetries including algebraic...