Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics

被引：57

作者：

Inc, Mustafa ^{[1
]}

Yusuf, Abdullahi ^{[1
,2
]}

Aliyu, Aliyu Isa ^{[1
,2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa 7156, Nigeria

[3] Cankaya Univ, Dept Math, TR-1406530 Ankara, Turkey

[4] Inst Space Sci, Bucharest, Romania

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 04期

关键词：

CA; ZM; SGEM; Stability analysis; MODULATION INSTABILITY ANALYSIS; ZAKHAROV-KUZNETSOV EQUATION; FRACTIONAL CAHN-ALLEN; TIME-DEPENDENT COEFFICIENTS; SINE-GORDON EQUATION; OPTICAL SOLITONS; SCHRODINGERS EQUATION; CONSERVATION-LAWS; WAVE SOLUTIONS; PERTURBATION;

D O I：

10.1007/s11082-018-1459-3

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：

This research presents soliton solutions and stability analysis to some conformable nonlinear partial differential equations (CNPDEs). The CNPDEs equations in this paper are conformable Cahn-Allen and conformable Zoomeron equations. The powerful sine-Gordon method is used to carry out the soliton solutions for these equations. The aspects of stability analysis for the considered equations is investigated using the linear stability technique. The sine-Gordon method proves to be efficient and effective for the extraction of soliton solutions for different types of CNPDEs.

引用

页数：14

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