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Exact Traveling Wave Solutions and Bifurcation of a Generalized ()-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2020-06-13 , DOI: 10.1155/2020/4532824
Zhigang Liu 1 , Kelei Zhang 1 , Mengyuan Li 1
Affiliation  

In this paper, we study the ()-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation with a conformable fractional derivative. By the fractional complex transform and the bifurcation method for dynamical systems, we investigate the dynamical behavior and bifurcation of solutions of the traveling wave system and seek all possible exact traveling wave solutions of the equation. Furthermore, the phase portraits of the dynamical system and the remarkable features of the solutions are demonstrated via interesting figures.

中文翻译:

广义()维时间分数阶Camassa-Holm-Kadomtsev-Petviashvili方程的精确行波解和分支

在本文中,我们研究了时间维分数的Camassa-Holm-Kadomtsev-Petviashvili方程,具有适度的分数导数。通过分数阶复杂变换和动力系统的分叉方法,我们研究了行波系统解的动力学行为和分叉,并寻找了方程的所有可能的精确行波解。此外,通过有趣的数字展示了动力学系统的相图和解决方案的显着特征。
更新日期:2020-06-13
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