New exact solitary-wave solutions for the K(2, 2, 1) and K(3, 3, 1) equations

In this paper, K(2, 2, 1) equation: ut + (u2)x − (u2)xxx + u5x = 0 and K(3, 3, 1) equation: ut + (u3)x − (u3)xxx + u5x = 0, are investigated. New exact solitary solutions are developed by using the decomposition method and symbolic computation system, Maple.