Numerical simulation of coupled MKdV equation by reduced differential transform method

Article type: Research Article

Authors: Tomar, Amit^{a; *} | Arora, Rajan^b

Affiliations: [a] Department of Mathematics, DIT University, Dehradun, India | [b] Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, India

Correspondence: [*] Corresponding author: Amit Tomar, Department of Mathematics, DIT University, Dehradun, India. Tel.: +91 9412539033; E-mail: amitmath.14@gmail.com, atddtdpt@iitr.ernet.in.

Abstract: The main goal of this article is to demonstrate the use of the Reduced Differential Transform Method (RDTM). This method has been applied directly without using bilinear forms, Wronskian, or inverse scattering method. Also it is worth pointing out that if the terms of the series increase, the RDTM provides better convergence to the analytical solution. In this paper, this method is used for solving nonlinear coupled MKdV equation with given initial conditions having arbitrary constants. The numerical solutions obtained by RDTM are compared with the known exact solutions by fixing the arbitrary constants and with Adomian Decomposition Method (ADM) in tables as well as in figures.

Keywords: Reduced differential transform method (RDTM), coupled MKdV equation, soliton solution

DOI: 10.3233/JCM-140504

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 14, no. 4-5, pp. 269-275, 2014