AbstractIn this study, some new traveling wave solutions for fractional partial differential equations (PDEs) h'/> (G~1/G~2)Expansion method: new traveling wave solutions for some nonlinear fractional partial differential equations
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(G~1/G~2)Expansion method: new traveling wave solutions for some nonlinear fractional partial differential equations

机译：（G〜1 / G〜2）展开方法：某些非线性分数阶偏微分方程的新行波解

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AbstractIn this study, some new traveling wave solutions for fractional partial differential equations (PDEs) have been developed. The time-fractional Burgers equation, fractional biological population model and space-time fractional Whitham Broer Kaup equations have been considered. These equations have significant importance in different areas such as fluid mechanics, determination of birth and death rates and propagation of shallow water waves. The analytical technique ($$frac{G^{'}}{G^{2}}$$G′G2) has been utilized for finding the new traveling wave solutions of the considered fractional PDEs. ($$frac{G^{'}}{G^{2}}$$G′G2)-expansion method is a very useful approach and exceptionally helpful as contrast with other analytical methods. The proposed method provides three unique sort of solutions such as hyperbolic, trigonometric and rational solutions. This approach is likewise applicable to other nonlinear fractional models.
机译： Abstract 在此研究中，分数阶偏微分方程（PDE）的一些新的行波解） 已经开发了。已经考虑了时间分数Burgers方程，分数生物种群模型和时空分数Whitham Broer Kaup方程。这些方程在流体力学，出生率和死亡率确定以及浅水波传播等不同领域都具有重要意义。分析技术（ $$ frac {G ^ {'}} {G ^ {2}} $$ <数学xmlns：xlink =“ http：// www.w3.org/1999/xlink">G′ G 2 ）已被用于寻找新的行波解。被认为是分数PDE。 （ $$ frac {G ^ {'}} {G ^ {2}} $$ <数学xmlns：xlink =“ http：//www.w3 .org / 1999 / xlink“> G ' G 2 ）扩展方法是一种非常有用的方法，与其他方法形成对比时非常有用分析方法。所提出的方法提供了三种独特的解决方案，例如双曲，三角和有理解。这种方法同样适用于其他非线性分数模型。

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