Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles

• 作者: Jian-Guo Liu Wen-Hui Zhu Ya-Kui Wu Yan He
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（8）
• 页码范围: 18-26
• 页数: 9页
• 语种: 英文

摘要

In this paper,a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles.Based on the Hirota's bilinear form and symbolic computation,lump and interaction solutions between lump and solitary wave are obtained,which include a periodic-shape lump solution,a parabolic-shape lump solution,a cubic-shape lump solution,interaction solutions between lump and one solitary wave,and between lump and two solitary waves.The spatial structures called the bright lump wave and the bright-dark lump wave are discussed.Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented.Their interactions are shown in some 3D plots.