On exact solutions, conservation laws and invariant analysis of Rosenau-Hyman equation with generalized coefficients.

In this paper, the nonlinear Rosenau-Hyman equation with time dependent variable coefficients is considered for inves-tigating its invariant properties, exact solutions and conservation laws. Using Lie classical method, we derive point symmetries admitted by the governing equation. Symmetry reductions are performed for each components of optimal set. Also nonclassical approach is employed to find some additional supplementary symmetries and corresponding symmetry reductions are performed. Later three kinds of exact solutions of considered equation are presented graphically for different parameters. In addition, local conservation laws are constructed for the considered equation by multiplier approach. [ABSTRACT FROM AUTHOR]