Soliton molecules, rational positons and rogue waves for the extended complex modified KdV equation

In this paper, we consider the integrable extended complex modified Korteweg–de Vries equation. Based on Darboux transformation, obtain soliton molecules, positon solutions, rational solutions and rogue waves for Further, under standard decomposition, divide into three patterns: fundamental pattern, triangular pattern ring pattern. On basis of define length width discuss effect different parameters waves.