Abstract:
In this paper, we are going to obtain the soliton solution of the generalized RosenauKawahara-RLW equation that describes the dynamics of shallow water waves in
oceans and rivers. We confirm that our new algorithm is energy-preserved and
unconditionally stable. In order to determine the performance of our numerical
algorithm, we have computed the error norms L2 and L∞. Convergence of full
discrete scheme is firstly studied. Numerical experiments are implemented to validate
the energy conservation and effectiveness for longtime simulation. The obtained
numerical results have been compared with a study in the literature for similar
parameters. This comparison clearly shows that our results are much better than
the other results.
