“…The system (1.1) is integrable for the choices of parameters K i = 1, i = 1, 2, 3, 4, 5 [17]. Another relative long wave-short wave model was derived by Benney in 1977 [2], which had been widely researched, such as [8,12,15,16,19]. However, there is few research about the model (1.1).…”