Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation. (13th June 2020)

• Record Type: Journal Article
• Authors: Liu, Zhigang; Zhang, Kelei; Li, Mengyuan
• Other Names: Leiva Hugo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-06-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/4532824
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we study the (3 + 1 )-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.