Lie symmetry analysis and some new exact solutions for a variable coefficient modified Kortweg–de Vries equation arising in arterial mechanics

In this paper, a variable-coefficient modified Korteweg–de Vries equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic function expansion method is used to solve the reduced ODE. Some new exact solutions for the considered PDE are obtained.