New explicit and exact traveling wave solutions of (3+1)-dimensional KP equation

Abstract

In this paper, we investigate explicit exact traveling wave solutions of the generalized (3+1)-dimensional KP equation

Soliton Solutions to the BA Model and (3 + 1)‐Dimensional KP Equation Using Advanced exp(−ϕ(ξ))‐Expansion Scheme in Mathematical Physics

“…Using the Bilinear method in [41], the KP model has explored the multiple lump solutions via 1-lump wave, 3-lump wave, 6-lump wave, and 8lump waves. In addition, the simplified homogeneous balance method has been applied to the KP model and found the one single soliton and one double soliton solution in [42]. The Hirota bilinear transformation has been applied to the KP equation and obtained the one and two rough wave solutions in [43].…”

Soliton solutions to the nonlinear higher dimensional Kadomtsev-Petviashvili equation through the new Kudryashov’s technique

“…Recently, many studies have been done on equation (1) and its generalized form. In [10] rogue waves bright-dark solitons, in [11] rogue wave and rogue wave mixed solution, in [34] group invariant solutions, multiple-solitons, breathers and lump waves in [35], multi-wave interaction solutions in [36], some lump solutions in [37], lump and interaction solutions in [38], traveling wave, lump wave, rogue wave, multi-kink solitary wave and interaction solutions in [39], multiple waves solutions in [40], multi-solitons, multi-breathers and multi-rational solutions in [41], rogue wave solutions [42], new explicit and exact traveling wave solutions in [43] and so on.…”