标题：Some new types of exact solutions for the Kac–Wakimoto equation associated with e (1) 6
作者：Wang D.-S.; Piao L.; Zhang N.
作者机构：[Wang, D.-S] School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, China;[ Piao, L] School of Applied Sci 更多
通讯作者地址：[Wang, D.-S] School of Applied Science, Beijing Information Science and Technology UniversityChina;
关键词：Kac–Wakimoto equation, bilinear form, rational solution, kink-type breather solution, degenerate three-solitary wave solution
摘要：Recently, it is shown that the Kac-Wakimoto equation associated with 6 (1) is not integrable since it does not pass Painlevé test and does not have three-soliton solution, even it has one- and two-soliton solutions. Thus in this paper, we investigate some new types of exact solutions for this equation based on its bilinear form. As a result, the rational solutions, kink-type breather solution and degenerate three-solitary wave solutions of this equation are found. The properties and space structures of these exact solutions are analyzed by displaying their profiles in (x, y)-directions. Furthermore, the Lie symmetry analysis is done to present the one-parameter group of symmetries for the KW equation. © 2020 IOP Publishing Ltd.