A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations

A linearized implicit finite difference method is devised for K ( n , n ) . The stability and accuracy of the proposed methods are discussed. A compacton wave solution of the equation K ( n , n ) is used to examine the accuracy and efficiency of the proposed methods and study the effect of the added artificial dissipation term to solve the K ( n , n ) equation using finite difference method. The dynamics of waves having various initial wavepackets are discussed.