Jul 1, 2019 · When z = x , α = 2 3 , Eq. (1) will reduce to the classical KP equation. Based on the bilinear form, the lump, rogue wave and a pair of ...

Jul 1, 2019 · Based on Hirota bilinear method, the N-soliton solution of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation is derived ...

Based on Hirota bilinear method, the N-soliton solution of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation is derived explicitly, from which ...

Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation · Physics, Mathematics · 2020.

In this paper, we study the above two phenomena in the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. By introducing some new constraint ...

Based on Hirota bilinear method, the N -soliton solution of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation is derived explicitly, ...

Novel interaction phenomena of localized waves in the generalized (3+1) -dimensional KP equation · Computers and Mathematics with Applications 78(1): 1-19 · 2019 ...

Based on the Hirota bilinear method and long wave limit, four kinds of localized waves, namely, solitons, lumps, breathers, and rogue waves are constructed ...

To explain such behaviors, we mainly focus in this study to explain the dynamics of localized waves and their variety of interaction solutions to a ...

A general third order of linear partial differential equation in (3 + 1) dimensions is studied by using the ansätz method. The lump solutions which localize ...