符合时空-分数阶耦合KD方程的SITEM

Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering Pub Date : 2018-12-29 DOI:10.30931/JETAS.452732

H. Yaslan, A. Girgin

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引用次数: 1

摘要

本文采用简化$\tan(\frac{\phi (\xi) }{2})$ -展开法(SITEM)，得到了时空分数阶耦合的Konopelchenko-Dubrovsky (KD)方程的新的解析解。这里，分数阶导数的描述是符合逻辑的。得到的行波解分别用三角函数、双曲函数、指数函数和有理函数表示。本文最后对所得解进行了仿真。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SITEM for the Conformable Space-Time Fractional Coupled KD Equations

In the present paper, new analytical solutions for the space-time fractional coupled Konopelchenko-Dubrovsky (KD) equations are obtained by using the simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM). Here, fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the trigonometric, hyperbolic, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.

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Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering

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