Diversity of New Three-Wave Solutions and New Periodic Waves for the (3 + 1)-Dimensional Kadomtsev-Petviashvili-Boussinesq-Like Equation

• 作者: Lihui Han Meiyu Li Runfa Zhang Sudao Bilige
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: KPB-Like Equation Generalized Bilinear Form New Three-Wave Solutions New Periodic Wave
• 年，卷（期）: 2020,（10）
• 页码范围: 2142-2156
• 页数: 15页
• 分类号: O17

摘要

Based on the generalized bilinear method, diversity of exact solutions of the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation is successfully derived by using symbolic computation with Maple. These new solutions, named three-wave solutions and periodic wave have greatly enriched the existing literature. Via the three-dimensional images, density images and contour plots, the physical characteristics of these waves are well described. The new three-wave solutions and periodic solitary wave solutions obtained in this paper, will have a wide range of applications in the fields of physics and mechanics.