An Algorithm for Solving the Fractional Nonlinear Schrodinger Equation by Means of the Homotopy Perturbation Method


Yildirim A.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.10, ss.445-450, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 10 Konu: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1515/ijnsns.2009.10.4.445
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Sayfa Sayıları: ss.445-450

Özet

In this study, we present a framework to obtain analytical solutions to nonlinear fractional Schrodinger equations. The homotopy perturbation method (HPM) is employed to derive analytical solutions for these equations. Some examples are tested and the results reveal that the technique introduced here is very effective and convenient for solving nonlinear partial differential equations of fractional order.