Homotopy perturbation method to obtain new solitary solutions with compact support for Boussinesq-like B(2n, 2n) equations with fully nonlinear dispersion


YILDIRIM A. , GULKANAT Y.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, cilt.65, ss.699-706, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 65 Konu: 6
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/fld.2211
  • Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • Sayfa Sayıları: ss.699-706

Özet

The aim of this paper is to obtain new solitary solutions with compact support for Boussinesq-like B(2n, 2n) equations with fully nonlinear dispersion using the homotopy perturbation method (HPM). The special case B(2, 2) is chosen to illustrate the concrete scheme of the HPM in B(2n, 2n) equations. General formulas for the solutions of B(2n, 2n) equations are established. Copyright (C) 2009 John Wiley & Sons, Ltd.