Kadomtsev–Petviashvili方程
孤子
双线性形式
类型(生物学)
双线性插值
物理
非线性系统
畸形波
一维空间
数学物理
经典力学
数学分析
数学
量子力学
地质学
伯格斯方程
古生物学
统计
作者
Hajar F. Ismael,Harivan R. Nabi,Tukur Abdulkadir Sulaıman,Nehad Ali Shah,Mohamed R. Ali
标识
DOI:10.1016/j.rinp.2023.106402
摘要
In this study, we focus on the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili (gBKP) equation in fluid dynamics, which is useful for modeling weakly dispersive waves transmitted in quasi media and fluid mechanics. As a general matter, this paper examines the gBKP equation including variable coefficients of time that are widely employed in plasma physics, marine engineering, ocean physics, and nonlinear sciences to explain shallow water waves. Using Hirota’s bilinear approach, one-, two, and three-soliton solutions to the problem are constructed. By employing a long-wave method, 1-M-, 2-M, and 3-M-lump solutions are derived. In addition, interaction phenomena of one-, and two-soliton solutions with one-M-lump wave are revealed. Moreover, an interaction solution between a two-M-lump wave and a one-soliton solution is also offered. The planes that M-lump waves travel among them are derived. We believe that our findings will help improve the dynamical properties of (3+1)-dimensional BKP-type equation.
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