Solitary wave simulations of Complex Modified Korteweg-de Vries Equation using differential quadrature method


Korkmaz A., Dag İ.

COMPUTER PHYSICS COMMUNICATIONS, vol.180, no.9, pp.1516-1523, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 180 Issue: 9
  • Publication Date: 2009
  • Doi Number: 10.1016/j.cpc.2009.04.012
  • Title of Journal : COMPUTER PHYSICS COMMUNICATIONS
  • Page Numbers: pp.1516-1523
  • Keywords: Complex Modified KdV Equation, Differential quadrature method, Solitary waves, Interaction, DISTRIBUTED SYSTEM EQUATIONS, EVOLUTION, INSIGHTS

Abstract

Complex Modified Korteweg-deVries Equation is solved numerically using differential quadrature method based on cosine expansion. Three test problems, motion of single solitary wave, interaction of solitary waves and wave generation, are simulated. The accuracy of the method is measured via the discrete root mean square error norm L-2, maximum error norm L,, for the motion of single solitary wave since it has an analytical solution. A rate of convergency analysis for motion of single solitary wave containing both real and imaginary parts is also given. Lowest three conserved quantities are computed for all test problems. A comparison with some earlier works is given. (C) 2009 Elsevier B.V. All rights reserved.