Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-classac

被引：122

作者：

Korkmaz, Alper ^{[1
]}

Hepson, Ozlem Ersoy ^{[2
]}

Hosseini, Kamyar ^{[3
]}

Rezazadeh, Hadi ^{[4
]}

Eslami, Mostafa ^{[5
]}

机构：

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

[2] Eskisehir Osmangazi Univ, Dept Math & Comp, Eskisehir, Turkey

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

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

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

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2020年 / 32卷 / 01期

关键词：

Sine-Gordon expansion method; Conformable time fractional RLW equation; Conformable time fractional modified RLW equation; Conformable time fractional symmetric-RLW equation; LONG-WAVE EQUATION; LUMP-KINK SOLUTIONS; MODEL;

D O I：

10.1016/j.jksus.2018.08.013

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW)-class. Compatible wave transform reduces the governing equation to classical ordinary differential equation. The homogeneous balance procedure gives the order of the predicted polynomial-type solution that is inspired from well-known Sine-Gordon equation. The substitution of this solution follows the previous step. Equating the coefficients of the powers of predicted solution leads a system of algebraic equations. The solution of resultant system for coefficients gives the necessary relations among the parameters and the coefficients to be able construct the solutions. Some solutions are simulated for some particular choices of parameters. (C) 2018 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.

引用

页码：567 / 574

页数：8