Dynamics of three-wave solitons and other localized wave solutions to a new generalized (3+1)-dimensional P-type equation

Muhammad Naveed Rafiq and Haibo Chen

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: This study investigates the nonlinear wave equation in soliton theory, specifically focusing on the new generalized (3+1)-dimensional P-type equation. By employing the Hirota bilinear method, we successfully derive the dynamics of multiwave solutions with trigonometric and hyperbolic functions such as one-soliton, two-soliton, three-soliton, Kuznetsov–Ma breather soliton, Homoclinic breather soliton, M-shaped soliton and W-shaped soliton. To visually represent the obtained solutions, we depict them through 2D and 3D plots, showcasing various dynamical structures along with diverse sets of parameters for a more comprehensive physical understanding. Additionally, we conduct a stability analysis of the governing equation, offering stability criteria along with the corresponding regions of stability. The outcomes are novel, valuable, and represent unexplored territory for the examined equation, as no prior studies have delved into these findings.

Keywords: Generalized (3+1)-dimensional P-type equation; Multi-wave solitons; Breather and other localized wave solutions; Stability analysis (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924001553
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001553

DOI: 10.1016/j.chaos.2024.114604

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().