Exact Solutions for (2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff Equation via Symbolic Computation

• 作者: Temuer Chaolu Yan Li
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: (2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff EQUATION Trilinear EQUATION Exact Solutions
• 年，卷（期）: 2020,（2）
• 页码范围: 197-209
• 页数: 13页
• 分类号: O17

摘要

This paper constructs exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation with the help of symbolic computation. By means of the truncated Painlev expansion, the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation can be written as a trilinear equation, through the trilinear-linear equation, we can obtain the explicit representation of exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation. We have depicted the profiles of the exact solutions by presenting their three-dimensional plots and the corresponding density plots.