Application of the Homotopy Perturbation Method to Linear and Nonlinear Schrödinger Equations

Author:

Mousaa Mohamed M.1,Ragab Shahwar F.2

Affiliation:

1. Department of Basic Science, Benha Higher Institute of Technology, Benha University, 13512, Egypt

2. Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza, Egypt

Abstract

He’s homotopy perturbation method (HPM) is applied to linear and nonlinear Schrödinger equations for obtaining exact solutions. The HPM is used for an analytic treatment of these equations. The results reveal that the HPM is very effective, convenient and quite accurate to such types of partial differential equations.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

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