New interaction solutions to the combined KdV-mKdV equation from CTE method

The consistent tanh expansion (CTE) method is developed for the combined KdV-mKdV equation. The combined KdV-mKdV equation is proved to be CTE solvable. New exact interaction solutions such as soliton-cnoidal wave solutions, soliton-periodic wave solutions for the combined KdV-mKdV equation are given out analytically and graphically.