New Solutions for Nonlinear Schrodinger Equations using Adomian Decomposition and Homotopy Perturbation Methods

Norhasimah Mahiddin

doi:10.17485/ijst/2016/v9iS1/97822

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New Solutions for Nonlinear Schrodinger Equations using Adomian Decomposition and Homotopy Perturbation Methods

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9iS1/97822

Year: 2016, Volume: 9, Issue: Special Issue 1, Pages: 1-5

Original Article

New Solutions for Nonlinear Schrodinger Equations using Adomian Decomposition and Homotopy Perturbation Methods

Norhasimah Mahiddin¹,^2*

¹ Centre of Foundation Studies for Agriculture Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
² Institute For Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia; [email protected]
*Author for correspondence
Norhasimah Mahiddin
Institute For Mathematical Research
Email: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Coupled non-linear Schrodinger equation (CNLS) with two mode propagations in an optical fibre was studied. Using Painleve analysis, we are successfully solving the focusing Manakov system, bright and dark solitons using Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Both methods are fast convergent, do not need linearization and eliminates massive computation work. Its hows that HPM does not involve the Adomian polynomials when dealing with non-linear problems.
Keywords: Adomian Decomposition, Homotopy Pertubation, Schrodinger, Soliton