EXACT SOLITARY-WAVE SOLUTIONS FOR THE NONLINEAR DISPERSIVE K (2,2,1) and K (3,3,1) EQUATIONS BY THE HOMOTOPY PERTURBATION METHOD


Yildirim A.

MODERN PHYSICS LETTERS B, vol.23, no.30, pp.3667-3675, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 30
  • Publication Date: 2009
  • Doi Number: 10.1142/s0217984909021703
  • Title of Journal : MODERN PHYSICS LETTERS B
  • Page Numbers: pp.3667-3675

Abstract

We implemented homotopy perturbation method for approximating the solution to the nonlinear dispersive K(m, n, 1) type equations. By using this scheme, the explicit exact solution is calculated in the form of a quickly convergent series with easily computable components. To illustrate the application of this method, numerical results are derived by using the calculated components of the homotopy perturbation series.