A note on the progressive wave solution of the perturbed Korteweg–deVries equation with variable dissipation

摘要

In this note, utilizing the method presented in Engelbrecht (1991) and Demiray (2002) we have studied the propagation of progressive waves in perturbed KdV equation with variable dissipation coefficient. The cases of constant and variable dissipation coefficient are studied separately and the results are compared with each other. It is seen that for both cases the amplitude and wave speed decrease with increasing time.