The D'Alembert type waves and the soliton molecules in a (2+1)-dimensional Kadomtsev-Petviashvili with its hierarchy equation*

Hui-Ling Wu(吴慧伶),Sheng-Wan Fan(樊盛婉),Jin-Xi Fei(费金喜),Zheng-Yi Ma(马正义)

Figure 3. The soliton molecule consisting of a line soliton and a lump of the solution v from equations (17) and (45) at (a) $t=-\tfrac{1}{2}$, (b) t = 0 and (c) $t=\tfrac{1}{2}$, respectively.