Exact traveling wave solutions of the whitham-broer-kaup-like equation with time-dependent coefficients

The first integral method (FIM) is employed to solve the different type solutions of Whitham-Broer-Kaup-Like (WBKL) equation with time-dependent coefficient. We have acquired different types of solutions of this equation. We have also acquired the constraint conditions for the existence of the obtained solitons according to the parameters. It is shown that the method is effective and a direct method, based on the ring theory of commutative algebra. © 2019 NSP Natural Sciences Publishing Cor.