EXACT SOLUTIONS TO NONLINEAR WAVE EQUATION

• 来源期刊: 微分方程年刊：英文版
• 学科: 物理学
• 年，卷（期）: 2011,（1）
• 页码范围: 13-18
• 页数: 6页
• 分类号: O43

摘要

In this paper,we use an invariant set to construct exact solutions to a nonlinear wave equation with a variable wave speed. Moreover,we obtain conditions under which the equation admits a nonclassical symmetry. Several different nonclassical symmetries for equations with different diffusion terms are presented.