论文标题
在确切的解决方案，保护法和广义的Rosenau-Hyman方程的不变分析上
On exact solutions, conservation laws and invariant analysis of the generalized Rosenau-Hyman equation
论文作者
论文摘要
在本文中，考虑使用时间因变量系数的非线性rosenau-hyman方程用于研究其不变特性，精确的解决方案和保护定律。使用Lie Classical方法，我们得出了由考虑方程式接收的对称性。对最佳集合的每个组件进行对称性降低。同样，在考虑方程式上采用了非经典方法，以找到一些其他补充对称性，并进行相应的对称性降低。后来，用于不同参数的三种精确解决方案的三种精确解决方案。此外，通过乘数方法构建了本地保护法，以考虑方程式。
In this paper, the nonlinear Rosenau-Hyman equation with time dependent variable coefficients is considered for investigating its invariant properties, exact solutions and conservation laws. Using Lie classical method, we derive symmetries admitted by considered equation. Symmetry reductions are performed for each components of optimal set. Also nonclassical approach is employed on considered equation to find some additional supplementary symmetries and corresponding symmetry reductions are performed. Later three kinds of exact solutions of considered equation are presented graphically for different parameters. In addition, local conservation laws are constructed for considered equation by multiplier approach.
