Comparison of optimal homotopy analysis method and fractional homotopy analysis transform method for the dynamical analysis of fractional order optical solitons-Reference-Cited by-同舟云学术

Comparison of optimal homotopy analysis method and fractional homotopy analysis transform method for the dynamical analysis of fractional order optical solitons

Published:2017-03 Issue:3 Volume:9 Page:168781401769294
ISSN:1687-8140
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Arshad Sarmad¹,Siddiqui Abdul M²,Sohail Ayesha¹,Maqbool Khadija³,Li ZhiWu⁴⁵

Affiliation:

1. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

2. Department of Mathematics, The Pennsylvania State University, York Campus, York, PA, USA

3. Department of Mathematics & Statistics, FBAS, IIU, Islamabad, Pakistan

4. Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau

5. School of Electro-Mechanical Engineering, Xidian University, Xi’an, China

Abstract

In this article, dynamical analysis of fractional order Schrödinger equation governing the optical wave propagation is reported in detail. The validity criteria for the application of the semi-analytic asymptotic methods are exploited. Comparison between the solutions obtained by the two asymptotic techniques, that is, the fractional homotopy analysis transform method and the optimal homotopy analysis method is performed to select the most accurate technique for the stated problem.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1687814017692946

Reference42 articles.

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