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A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-06-22 , DOI: 10.1186/s13662-020-02751-5
Abdul Ghaffar , Ayyaz Ali , Sarfaraz Ahmed , Saima Akram , Moin-ud-Din Junjua , Dumitru Baleanu , Kottakkaran Sooppy Nisar

We investigate some solitary wave results of time fractional evolution equations. By employing the extended rational \(\exp ( (-\frac{{\psi }^{\prime }}{\psi }) ( \eta ) )\)-expansion method, a few different results including kink, singular-kink, multiple soliton, and periodic wave solutions are formally generated. It is worth mentioning that the solutions obtained are more general with more parameters. The exact solutions are constructed in the form of exponential, trigonometric, rational, and hyperbolic functions. With the choice of proper values of parameters, graphs to some of the obtained solutions are drawn. On comparing some special cases, our solutions are in good agreement with the results published previously and the remaining are new.



中文翻译:

一种获得分数阶非线性演化方程孤立解的新分析技术

我们研究了时间分数演化方程的一些孤立波结果。通过采用扩展的有理\(\ exp((-\ frac {{\ psi} ^ {\ prime}} {\ psi})(\ eta))\)- expansion方法,一些不同的结果包括kink,singular-扭结,多重孤子和周期波解正式生成。值得一提的是,所获得的解决方案更通用,参数更多。精确解以指数函数,三角函数,有理函数和双曲函数的形式构造。选择适当的参数值后,将绘制一些解决方案的图表。通过比较某些特殊情况,我们的解决方案与之前发布的结果非常吻合,其余的都是新的。

更新日期:2020-06-22
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