Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities. Issue 1 (1st April 2022)

• Record Type: Journal Article
• Authors: Wu, Rui; Cheng, Qian; Xu, Yinan; Zhu, Minting; Yan, Yongsheng; Li, Rui; Zhang, Xiao; Shen, Wanqing
• Is Part Of: Journal of physics. Volume 2219:Issue 1(2022)
• Publication Date: 2022-04-01
• Subjects: Generalized KdV equation -- Jacobi elliptic function -- Ansatz -- Soliton; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/2219/1/012023
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution, Bell-shaped soliton solution and multi-soliton solution. Finally, by selecting some appropriate parameters, the results are demonstrated graphically that can be applied to describe the real world phenomenon. 2010 MSC: 35C07, 35C08, 35G20, 35Q53.