Bifurcation Analysis and Travelling Wave Solution for a Generalized Time Fractional KdV Equation. Issue 1 (1st April 2022)

• Record Type: Journal Article
• Authors: Wang, Yan; Yang, Wei; Yang, Liu; Wang, Nan; Yan, Yongsheng; Wang, Meng; Li, Lingfei
• Is Part Of: Journal of physics. Volume 2219:Issue 1(2022)
• Publication Date: 2022-04-01
• Subjects: Generalized time fractional KdV equation -- Bifurcation analysis -- Travelling solutions; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/2219/1/012022
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: By using bifurcation theory of planar dynamic system to a generalized time fractional KdV equation, a large number of solutions including irrational function solution, Jacobian elliptic function solution, trigonometric function solution, solitary solution as well as compacton solution are derived. Under different parametric selection, various kinds of sufficient conditions and numerical simulations are demonstrated to visualize their mechanism.