Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order

In this paper, an auxiliary ordinary differential equation with nonlinear terms of any order is introduced and its exact solutions are obtained. By means of the auxiliary equation and its solutions, abundant explicit exact solutions to the generalized Zakharov equations with nonlinear terms of any order are obtained in a concise manner that include new solitary wave solutions and triangular periodic wave solutions.