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

Anas A. M. Arafa; Ahmed M. Sh Hagag

doi:10.1142/S1793557119500451

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

Journal article

Peer reviewed

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

Anas A. M. Arafa and Ahmed M. Sh Hagag

Asian-European journal of mathematics, Vol.12(3), p.1950045

01/06/2019

DOI: https://doi.org/10.1142/S1793557119500451

Abstract

Mathematics

Physical Sciences

Science & Technology

In this paper, q-homotopy analysis transform method (q-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 q is an element of [0, 1/n]. The approximate solutions obtained by q-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.

Metrics

1 Record Views

Details

Title: Q-homotopy analysis transform method applied to fractional Kundu-Eckhaus equation and fractional massive Thirring model arising in quantum field theory
Creators - without role: Anas A. M. Arafa - Port Said University
Ahmed M. Sh Hagag - Sinai University
Publication Details: Asian-European journal of mathematics, Vol.12(3), p.1950045
Publisher: World Scientific
Number of pages: 11
Identifiers: 9928123608331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article