This paper aims to investigate the (3 + 1)-dimensional integrable extension Hirota bilinear (3D-eHB) equation, which models nonlinear wave phenomena in oceans.
This study integrates the Hirota bilinear form with various test functions to construct lump-multi-stripe and lump-multi-soliton solutions for the 3D-eHB equation. Additionally, it formulates interaction solutions that are characterized by the interplay between lump, periodic and kinky waves.
The fusion and fission of lump-multi-stripe and lump-multi-soliton solutions are studied. Additionally, the dynamic features of three distinct categories of interaction solutions are analyzed through numerical simulations.
This paper constructs novel exact solutions for the 3D-eHB equation using various test functions. It explores the interaction phenomena between one lump and multi-stripe waves, between one lump and multi-soliton waves and among lump, periodic and kinky waves.
