Exact traveling wave solutions of density-dependent conformable space-time-fractional diffusion-reaction equation with quadratic nonlinearity

被引：1

作者：

Rezazadeh, H. ^{[1
]}

Korkmaz, A. ^{[2
]}

Yepez-Martinez, H. ^{[3
]}

Eslami, M. ^{[4
]}

Bekir, A. ^{[5
]}

机构：

[1] Amol Univ Special Modern Technol, Fac Modern Technol Engn, Amol, Iran

[2] Cankiri Karatekin Univ, Dept Math, Cankiri, Turkey

[3] Univ Autonoma Ciudad Mexico, Prolongac San Isidro 151, Mexico City 09790, DF, Mexico

[4] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[5] Imarli St 28-4, TR-26030 Eskisehir, Turkey

来源：

INDIAN JOURNAL OF PHYSICS | 2020年 / 94卷 / 10期

关键词：

IFEM; CF derivative; Diffusion-reaction equation; Exact solutions; 04; 20; Jb; 05; 45; Yv; 47; 35; Fg; 52; Mw; KLEIN-GORDON EQUATIONS; 1ST INTEGRAL METHOD; SOLITON-SOLUTIONS; EVOLUTION; SYSTEM;

D O I：

10.1007/s12648-019-01597-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using improved F-expansion method (IFEM), we study density-dependent space-time-fractional diffusion-reaction equation with quadratic nonlinearity (DDFDRE), which arises in mathematical biology. The fractional derivative is described in the sense of the CF derivative. Exact traveling wave solutions for DDFDRE are derived and expressed in terms of hyperbolic functions and rational functions. The IFEM is brief, efficient and easy to apply. It also can be used to solve many other fractional nonlinear evolution equations.

引用

页码：1573 / 1580

页数：8

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