Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation

Author(s)

Rahmat Ali Khan, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
Muhammad Usman, University of DaytonFollow

Document Type

Article

Publication Date

2-2012

Publication Source

Applied Mathematical Modelling

Abstract

In this paper, we study the eventual periodicity of the initial boundary value problem (IBVP) for Korteweg-de Vries equation posed on a bounded domain. We show that if the boundary forcing is periodic of period τ, then the solution u of the IBVP at each spatial point becomes eventually time-periodic of period τ. In order to exhibit eventual periodicity, we approximate the solution of the IBVP using the Adomian decomposition method. We compare our work with the approximate solution of IBVP obtained by the homotopy perturbation method and present numerical experiments using Mathematica.

Inclusive pages

736 - 742

ISBN/ISSN

0307-904X

Publisher

Elsevier

Volume

36

Issue

2

Peer Reviewed

yes

Keywords

KdV equation;Forced oscillation; Time-periodic solution; Eventual periodicity

eCommons Citation

Khan, Rahmat Ali and Usman, Muhammad, "Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation" (2012). Mathematics Faculty Publications. 6.
https://ecommons.udayton.edu/mth_fac_pub/6