Two-soliton solutions and rational solutions of wave resonant-interaction equations with higher-order effects

We focus on the wave resonant-interaction equations incorporating higher-order effects. To explore their exact solution structures and dynamic properties, we employ the Darboux-Dressing transformation to construct two-soliton solutions and rational solutions with quartic polynomials. Furthermore, based on the analytic solutions, proper parameters are chosen to display their evolutions and dynamics.