Some Exact Solutions for Sediment Transport Equations

This paper presents some exact solutions for the nonlinear hyperbolic partial differential equations (PDEs), governing sediment transport in channels and rivers. The infinitesimal transformations for the governing system of PDEs are derived by using Lie group analysis. These are used to reduce the number of independent variables and consequently reduces the original system of PDEs into system of ordinary differential equations (ODEs). Moreover, the reduced system of ODEs are solved and new classes of exact group invariant solutions for the governing PDEs are constructed.