Stripe solitons and lump solutions to a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics

TL;DR

This paper derives and analyzes stripe solitons and lump solutions for a complex (3+1)-dimensional Kadomtsev-Petviashvili equation with variable coefficients, revealing their interactions and dynamics in fluid systems.

Contribution

It introduces a method to obtain lump and stripe soliton solutions for a generalized high-dimensional KP equation with variable coefficients, expanding the understanding of such solutions in fluid dynamics.

Findings

Lump solutions are explicitly constructed using Hirota's bilinear form.

Interaction solutions between lumps and other solitons are demonstrated.

Graphical analysis shows diverse dynamical behaviors based on parameter choices.

Abstract

Under investigation is a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics. Based on the Hirota's bilinear form and the positive quadratic function, abundant lump solutions are obtained.The interaction solutions between lump solutions and other solitons are also presented. Their dynamical behaviors are graphically shown with different choices of the free parameters.