Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation

Symmetry Analysis and Some New Exact Solutions of the (2+1)-dimensional Burgers Equations

“…Many types of exact solutions for Eq. (1.1) are obtained in [15,[18][19][20][21][22][23][24][25]. Soliton and soliton-like solutions are obtained in [15,18].…”

“…In [22,23], variable separation solutions are obtained. Interaction between kink solitary wave and rogue wave is investigated in [24]. Residual symmetry analysis is investigated in [25].…”

Spatio-temporal dynamics and interaction of lump solutions for the (4+1)-D Fokas equation

“…From fig. 1(a), we can clearly see that the lump solution has bright lump solution structure characteristics, which has one upward peak and two small downward projections, the main peak forms a much higher hill, the two downward projections are hidden under the plane wave [18]. However, the spatio-temporal structure of lump solution will vary with the change of the seven free parameter values.…”

Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation

“…On the kink wave background, the lump-type wave can move from one asymptotic state to another asymptotic state (Figure 3). In [36,37], the interaction between a kink solitary wave solution and a lump-type wave solution was investigated. However, the obtained results showed that when the lump-type wave solution collided with the kink solitary wave, the lump-type wave solution was completely absorbed or emitted by the kink solitary wave.…”