Group Analysis of Equal-Width Equation

Abstract

We study a third-order nonlinear equal width equation, which has been used for simulation of a one-dimensional wave propagation in a non-linear medium with dispersion process, by symmetry analysis. First, Lie point symmetries are obtained and used to reduce reduce the equal width equation thereby constructing exact solutions. Traveling waves are constructed using of a linear combination of space and time translation symmetries. We have used the multiplier technique to compute conservation laws.