Variable separation solution for an extended (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. (October 2022)

• Record Type: Journal Article
• Authors: Li, Lingfei; Yan, Yongsheng; Xie, Yingying
• Is Part Of: Applied mathematics letters. Volume 132(2022)
• Publication Date: 2022-10
• Subjects: Localized excitation -- Folded wave -- Multi-valued soliton -- Boiti–Leon–Manna–Pempinelli equation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108185
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper proposes a new variable separation solution for the (3+1)-dimensional nonlinear evolution equation. The new variable separation solution directly gives the analytical form of the solution u instead of its potential u y and renders a distinct way to construct localized excitation. Taking the extended (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation as an example, we test its integrability at first. Then, we analyze the elastic, inelastic head-on collision of two and three folded solitary waves by introducing several suitable multi-valued functions. Specifically, the superimposed structure of folded waves is studied, and plenty of novel patterns have been obtained.