| |
| In this paper, a (3+1) dimensional integrable fourth-order nonlinear equation is investigated, which can simulate left- and right-going waves in a fluid. By using the symbolic computations, some mixed rogue wave-kink soliton solutions are constructed. We graphically analyze the interaction between the rogue wave and a pair of kink solitons and find that the rogue wave appears at one kink soliton and vanishes after propagating to another kink soliton on the x-y, y-zand x-z planes, respectively. We also obtain some lump-periodic wave solutions and investigate the interaction between a lump wave and a periodic wave. We find that the amplitude of the lump wave changes with the increase of $t$. Besides, some periodic cross-kink soliton solutions are obtained. With the help of 3D plots, we study the propagation and interaction of the nonlinear waves obtained from those solutions. In addition, we discuss the influence of the coefficients in that equation on the nonlinear waves derived from the solutions in this paper. |
|
| Keywords:Applied mathematics; Fluid; (3+1) dimensional integrable fourth-order nonlinear evolution equation; Mixed rogue wave-kink soliton solutions; Lump-periodic solutions; Periodic cross-kink soliton solutions |
|
