Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa–Holm Kadomtsev–Petviashvili equation

New lump solutions and several interaction solutions and their dynamics of a generalized (3+1)-dimensional nonlinear differential equation

“…Let z = 0, and take the derivative of equation ( 27) with respect to x and y; then it can be concluded from f x = f y = 0 that the central point coordinate of the lump is We can find that the characteristic line of the soliton is ( ) from equation (27). Thus, the distance between the lump and the soliton is It is easy to conclude from the above equation that the distance between the lump and the soliton depends only on the choice of parameters and is independent of time.…”

“…It is always a hot topic to seek the exact solutions, such as breath-wave solutions [21,22], interaction solutions [23] and lump solutions [24][25][26], of nonlinear differential equations, and many exact solutions of nonlinear differential equations have been obtained by some scholars in recent years. For instance, Chen et al derived the breather solutions and the interaction solutions of the (3+1)-dimensional generalized Camassa-Holm KP equation [27]. The mixed lump-stripe solutions and the mixed rogue wave-stripe solutions of the (3 +1)-dimensional nonlinear wave equation were obtained by Wang et al [28].…”