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首页> 外文期刊>Optical and quantum electronics >Soliton structures to some time-fractional nonlinear differential equations with conformable derivative
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Soliton structures to some time-fractional nonlinear differential equations with conformable derivative

机译：孤子结构与可导导数的时分非线性微分方程

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摘要

This research presents new soliton structures to some time-fractional nonlinear differential equations (TFNDEs) with conformable derivative. The powerful Ricatti-Ber-noulli (RB) sub-ODE method is used to carry out the soliton solutions. Some of the obtained solutions include trigonometric, periodic wave and hyperbolic solutions. The constraint conditions for the existence of solitons are also presented. The RB sub-ODE method proves to be efficient and effective for the extraction of soliton structures for different types of TFNDEs. Some interesting figures for the numerical simulation of the obtained results are presented.
机译：这项研究为具有适度导数的某些时分非线性微分方程（TFNDE）提供了新的孤子结构。强大的Ricatti-Ber-noulli（RB）次ODE方法用于执行孤子解。一些获得的解包括三角解，周期波解和双曲线解。还提出了孤子存在的约束条件。事实证明，RB sub-ODE方法对于提取不同类型的TFNDE的孤子结构是有效的。给出了一些有趣的数字，用于数值模拟所获得的结果。

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  • 来源
    《Optical and quantum electronics》 |2018年第1期|20.1-20.17|共17页
  • 作者

    Mustafa Inc; Abdullahi Yusuf; Aliyu Isa Aliyu; Dumitru Baleanu;

  • 作者单位

    Department of Mathematics, Science Faculty, Firat University, Elazig 23119, Turkey;

    Department of Mathematics, Science Faculty, Firat University, Elazig 23119, Turkey,Department of Mathematics, Federal University Dutse, PMB 7156, Dutse, Jigawa State, Nigeria;

    Department of Mathematics, Science Faculty, Firat University, Elazig 23119, Turkey,Department of Mathematics, Federal University Dutse, PMB 7156, Dutse, Jigawa State, Nigeria;

    Department of Mathematics, Cankaya University, OEgretmenler Cad. 1406530, Ankara, Turkey,Institute of Space Sciences, Magurele, Bucharest, Romania;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    TFNDEs; Conformable derivative; RB sub-ODE method; Soliton solutions;

    机译：TFNDEs;相称的导数;RB子ODE方法;孤子解决方案;

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