Abstract
We investigate multiwave, homoclinic breather, M-shaped, Kink cross-rational, periodic cross kink solutions for the nonlinear generalized Fornberg–Whitham (gFW)-equation by using appropriate polynomial function schemes. We also obtain some interactions for governing model including; interaction of M-shaped soliton with single exp-function, interactional solution with double exp-functions. In addition, we obtain dark, periodic soliton, Weierstrass and Jacobi elliptic, bell and kink type solutions for gFW-equation via newly developed sub-ODE method.