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The Investigation of Exact Solutions of Nonlinear Time-Fractional Klein-Gordon Equation by Using Generalized Kudryashov Method

机译:广义Kudryashov方法对非线性时间分数克莱因戈登方程的精确解的研究

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In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-fractional Klein-Gordon equation and we obtain some new solutions such as soliton solutions and hyperbolic function solutions. Moreover, we point out that this method is a generalized form of classical Kudryashov Method.
机译:在这项研究中,我们通过使用广义的Kudryashov方法(GKM)考虑非线性时间分数Klein-Gordon方程的精确解。非线性时间分数Klein-Gordon方程可以通过转换转换为非线性普通区别方程。因此,已经实施了GKM以找到非线性时间分数Klein-Gordon方程的精确解,我们获得了一些新的解决方案,例如Soliton解决方案和双曲线功能解决方案。此外,我们指出这种方法是普遍形式的经典Kudryashov方法。

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