Exact solutions of time-fractional generalised Burgers-Fisher equation using generalised Kudryashov method

被引：3

作者：

Selvaraj, Ramya ^{[1
]}

Venkatraman, Swaminathan ^{[2
]}

Ashok, Durga Devi ^{[3
]}

Krishnaraja, Krishnakumar ^{[1
]}

机构：

[1] SASTRA Deemed Univ, Srinivasa Ramanujan Ctr, Dept Math, Kumbakonam 612001, India

[2] SASTRA Deemed Univ, Srinivasa Ramanujan Ctr, Dept Math, Discrete Math Lab, Kumbakonam 612001, India

[3] SASTRA Deemed Univ, Srinivasa Ramanujan Ctr, Dept Phys, Kumbakonam 612001, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2020年 / 94卷 / 01期

关键词：

Time-fractional differential equation; nonlinear differential equation; generalised Burgers-Fisher equation; Kudryashov method; power series; 12; 60; Jv; 10; Dm; 98; 80; Cq; 11; 30; Hv;

D O I：

10.1007/s12043-020-02001-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This study deals with the generalised Kudryashov method (GKM) for the time-fractional generalised Burgers-Fisher equation (TF-GBF). Using the transformation of travelling wave, the TF-GBF is transformed into a non-linear ordinary differential equation (NLODE). Later, GKM has been applied in the resultant equation which is a novel technique to obtain exact solutions. These exact solutions are plotted and the power series solution is also derived.

引用

页数：8

共 50 条

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[J]. Pramana, 2020, 94
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