Exact Jacobian elliptic function solutions and hyperbolic function solutions for Sawada-Kotere equation with variable coefficient

Variable-coefficient Sawada-Kotere equation is researched. By the means of modified mapping method, we establish a mapping relation between the known solutions of elliptic functional equation and the unknown solutions of variable-coefficient Sawada-Kotere equation. Based on the relation, we easily deduce abundant exact solutions of Jacobi elliptic function and of hyperbolic function to variable-coefficient Sawada-Kotere equation. The merit of our method is that, without much extra effort, we circumvent integration and directly get the above all solutions in an uniform way.