Q-homotopy analysis transform method applied to fractional Kundu–Eckhaus equation and fractional massive Thirring model arising in quantum field theory-Reference-Cited by-同舟云学术

Q-homotopy analysis transform method applied to fractional Kundu–Eckhaus equation and fractional massive Thirring model arising in quantum field theory

Published:2019-05-27 Issue:03 Volume:12 Page:1950045
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Arafa Anas. A. M.¹,Hagag Ahmed. M. Sh.²

Affiliation:

1. Department of Mathematics & Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

2. Department of Basic Science, Faculty of Engineering, Sinai University, El-Arish, Egypt

Abstract

In this paper, [Formula: see text]-homotopy analysis transform method ([Formula: see text]-HATM) is used to solve fractional Kundu–Eckhaus equation and fractional massive Thirring model. This method is a mixture of Homotopy analysis method (HAM) and Laplace transform method (LTM) when [Formula: see text]. The approximate solutions obtained by [Formula: see text]-HATM are compared with the exact solutions. Numerical results are known through different graphs and tables. The results light the power, efficiency, simplicity, and reliability of the proposed method.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557119500451

Reference30 articles.

1. On a "Quasi" Integrable Discrete Eckhaus Equation

2. Solutions of the Reaction-Diffusion Brusselator with Fractional Derivatives

3. Homotopy Analysis Method for Solving Biological Population Model

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