论文标题
非线性分数K(M,N)类型方程的谎言组理论,具有可变系数
Lie group theory for nonlinear fractional K(m,n) type equation with variable coefficients
论文作者
论文摘要
我们研究了具有可变系数的分数K(M,N)类型方程的分析解,该方程是一种扩展类型的KDV方程,以真正的非线性分散式制度。通过使用Lie对称分析,我们获得了这种类型的时间分数偏微分方程(PDE)的躺点对称性。另外,我们介绍了对应于时间分数k(m,n)型方程的相应降低的分数差分方程(FDE)。
We investigated the analytical solution of fractional order K(m,n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m,n) type equation.