AN ANALYSIS OF NONLINEAR PDE ARISING IN ELASTO-PLASTIC FLOW

J.E. Okeke and O.C. Collins

Department of Mathematics, Chukwuemeka Odumegwu Ojukwu University, Anambra State, Nigeria.

Department of Mathematics, University of Nigeria, Nsukka, Enugu State,Nigeria.

Abstract

Lie symmetry analysis is performed on a class of non-linear partial differential equations (PDEs), which describes the longitudinal motion of an elasto-plastic bar and anti-plane shearing deformation. All the geometric vector fields of the equation are obtained. Interestingly, it is shown that this equation admits nonlocal type symmetry. The symmetry reductions and some new exact explicit solutions are also presented.

Keywords: Lie Symmetry, Symmetry reduction, Invariant solutions