On the autonomous multiple wave solutions and hybrid phenomena to a (3+1)-dimensional Boussinesq-type equation in fluid mediums

Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Usman Younas and Harivan R. Nabi

Chaos, Solitons & Fractals, 2024, vol. 187, issue C

Abstract: The (3+1)-dimensional Boussinesq equation is under consideration. This equation is considered as a prominent mathematical model in physics with many practical applications. In a fluid medium, the studied model can accurately represent viscous flows containing a variety of fluids with interfaces and provides a reasonable distribution of turbulent stresses associated with mean velocity gradients. For analyzing the studied equation, we apply the Hirota method and discuss the variety of multiple solitons and M-lump solutions. To visually represent the results, a range of graphs with unique shapes are generated per the specified parameter values. The computational intricacies and outcomes underscore the technique’s efficacy, simplicity, and transparency, demonstrating its suitability for numerous types of static and dynamic nonlinear equations of evolutionary phenomena in computational physics, in addition to other research and practical domains. The physical properties of solutions and the collision-related components of various nonlinear physical processes are illustrated with these results.

Keywords: Hirota method; Hybrid solution; Long-wave method; Boussinesq-type equation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009263

DOI: 10.1016/j.chaos.2024.115374

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