Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods

被引：83

作者：

Korkmaz, Alper ^{[1
]}

Hosseini, Kamyar ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Dept Math, TR-18200 Cankiri, Turkey

[2] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2017年 / 49卷 / 08期

关键词：

Time-fractional parabolic equation; Exponential nonlinearity; Conformable fractional derivative; Exp(-phi(epsilon))-expansion method; Modified Kudryashov method; Exact solutions; MODIFIED KUDRYASHOV METHOD; OPTICAL SOLITONS; PERTURBATION; EVOLUTION; FIBERS; INDEX;

D O I：

10.1007/s11082-017-1116-2

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A nonlinear conformable time-fractional parabolic equation with exponential nonlinearity is explored, in this article. First, under the specific transformations, the time-fractional parabolic equation is changed into a nonlinear ODE of integer order, and then, the reduced equation is solved using two lately established techniques called the expd(-phi(epsilon))-expansion and modified Kudryashov methods. Several exact solutions in various wave forms for the nonlinear conformable time-fractional parabolic equation with exponential nonlinearity are formally constructed.

引用

页数：10

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