Solutions to a Novel Casimir Equation for the Ito System

• 来源期刊: 理论物理通讯：英文版
• 学科: 地球科学
• 关键词: 非线性波动方程 系统 西米 自相似性 数值模拟 行波解 精确解 供给
• 年，卷（期）: 2011,（11）
• 页码范围: 801-804
• 页数: 4页
• 分类号: O175.29|N94
• 语种: 英文

摘要

We discuss two classes of solutions to a novel Casimir equation associated with the Ito system, a coupled nonlinear wave equation. Both travelling wave solutions and separable self-similar solutions are discussed. In a number of cases, explicit exact solutions are found. Such results, particularly the exact solutions, are useful in that they provide us a baseline of comparison to any numerical simulations. Besides, such solutions provide us a glimpse of the behavior of the Ito system, and hence the behavior of a type of nonlinear wave equation, for certain parameter regimes.