An analytical approach for coupled KdV and Modified Camassa-Holm equations

Abstract

Using the Reduced Differential Transform Method (RDTM), it is possible to find the
exact solutions or better approximate solutions of wide classes of problems in mathematical
physics. The coupled KdV equations introduced by Hirota-Satsuma and Modified CamassaHolm equation introduced by Wazwaz have rich applications in mathematical physics. In this
paper, this method is used for solving these nonlinear equations with given initial conditions
containing arbitrary constants. The numerical solutions obtained by RDTM are compared
with the exact known solutions by fixing the arbitrary constants. The obtained results show
that the solutions obtained by RDTM are in good agreement with the exact solutions.