RESEARCH PAPER
An analytical approach for coupled KdV and Modified
Camassa-Holm equations
1 | Mathematics and Natural Sciences |
2 | Mathematics and Natural Sciences, |
Online publication date: 2018-04-24
Publication date: 2018-04-24
Eurasian J Anal Chem 2018;13(3):emEJAC03122
KEYWORDS
Reduced Differential Transform MethodModified Camassa-Holm equationCoupled Korteweg–de Vries (KdV) 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 Camassa-
Holm 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.