CH-γ方程的对称和守恒律

Admitted Symmetries and Conservation Laws of CH-γ Equation

主要研究了CH-γ方程的对称和守恒律.首先,利用对称的经典算法及符号软件Maple,分情形探讨了CH-γ方程的Lie点对称和3阶对称,还由点对称的思想获得了它的新形式解;其次,当特征函数所依赖的变量不同时,用第一同伦公式的方法构造了CH-γ方程的守恒律,拓展了CH-γ方程已有的研究成果.

This paper mainly studies the admitted symmetries and conservation laws of the CH-y equation. Firstly, the Lie point symmetry and third-order symmetry of CH -y equation are discussed in cases by using the classical algorithms and symbolic software Maple. Also by the point symmetry ideology, its new form solutions are gained. Secondly, when the dependent variables of characteristic function varying, conservation laws of CH-y equation are constructed by means of the first homotopy formula method, which expand the existing research results of the CH-y equation.