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Article
Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation
Applied Mathematical Modelling
  • Rahmat Ali Khan, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
  • Muhammad Usman, University of Dayton
Document Type
Article
Publication Date
2-1-2012
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
Peer Reviewed
Yes
Keywords
  • KdV equation;Forced oscillation; Time-periodic solution; Eventual periodicity
Citation Information
Rahmat Ali Khan and Muhammad Usman. "Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation" Applied Mathematical Modelling Vol. 36 Iss. 2 (2012)
Available at: http://works.bepress.com/muhammad_usman/4/