Constructions of the optical solitons and other solitons to the conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity

被引:46
作者
Alam, Md Nur [1 ,2 ]
Tunc, Cemil [3 ]
机构
[1] Univ Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China
[2] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh
[3] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey
来源
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2020年 / 14卷 / 01期
关键词
Modified (G '/G)-expansion method; (3 + 1)-dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity; conformable fractional derivative; travelling wave solutions; soliton solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; TRAVELING-WAVE SOLUTIONS; CUBIC NONLINEARITY; KLEIN-GORDON; CAHN-ALLEN; PERTURBATION; SYSTEM; FLUID;
D O I
10.1080/16583655.2019.1708542
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 current research manifests kink wave answers, mixed singular optical solitons, the mixed dark-bright lump answer, the mixed dark-bright periodic wave answer, and periodic wave answers to the conformable fractional ZK model, including power law nonlinearity by plugging the revised -expansion process. The constraint requirements for the occurrence of substantial solitons are provided. Under the selection of proper values of a, b, n, t, lambda, mu and alpha, the 2D and 3D pictures to a few of the recorded answers are sketched. From our obtained solutions, we might decide that the investigated procedure is hugely muscular, sincere, and essential in rendering various new soliton solutions of distinct nonlinear conformable fractional evolution equations and accordingly, we shall bring it up in our future investigations.
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页码:94 / 100
页数:7
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