论文标题
高阶BousSinesQ方程的组分类
Group Classification of a Higher-Order Boussinesq Equation
论文作者
论文摘要
我们考虑一个具有任意非线性的高阶BousSinesQ方程的家族。我们确定方程式的类别，以便在这个家庭中接受某种类型的谎言对称代数。在二次非线性的情况下，我们提供了几种精确的解决方案，其中一些解决方案在椭圆函数方面。
We consider a family of higher-order Boussinesq equations with an arbitrary nonlinearity. We determine the classes of equations so that a certain type of Lie symmetry algebra is admitted in this family. In case of a quadratic nonlinearity we provide several exact solutions, some of which are in terms of elliptic functions.
