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

被引：30

作者：

Arafa, Anas A. M. ^{[1
]}

Hagag, Ahmed M. Sh ^{[2
]}

机构：

[1] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said, Egypt

[2] Sinai Univ, Fac Engn, Dept Basic Sci, Al Arish, Egypt

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 12卷 / 03期

关键词：

Laplace transform method; q-Homotopy analysis transform method; Fractional Kundu-Eckhaus equation (FKE); Fractional massive Thirring model (FMTM); BURGERS;

D O I：

10.1142/S1793557119500451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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