Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumps Article Swipe
Abdul‐Majid Wazwaz
,
Weaam Alhejaili
,
R. T. Matoog
,
S. A. El-Tantawy
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.rineng.2024.102727
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.rineng.2024.102727
Due to the extensive and diverse connections of the Kadomtsev-Petviashvili (KP) equation with various physical phenomena, such as the propagation of waves in sea and ocean water and the propagation of nonlinear waves in plasmas when two-dimensional perturbations are considered, thus in this study and based on the original KP equation, we construct and investigate three extended models, which are called the extended KP (eKP) equation, the extended Boussinesq (eBO) equation, and the extended KP-Boussinesq (eKP-BO) equation. These equations are commonly observed in many physical contexts involving nonlinear and dissipative media. Our research begins with thoroughly verifying the complete integrability of the three extended models. Once this crucial step is accomplished, we will examine these three extended models using the simplified Hirota approach (SHA), leading us to derive multiple soliton/shock solutions. Furthermore, the Hirota bilinear form of each model will be employed to derive a set of lump solutions for these three extended models, utilizing different parameter values. We also analyze some derived solutions graphically by presenting some two- and three-dimensional graphics to understand the dynamic behavior of the waves described by these solutions. The obtained results are anticipated to benefit a broad spectrum of academics interested in studying fluid mechanics, water wave characterization, and other interdisciplinary domains. Additionally, these models are anticipated to be essential in describing and understanding the dynamics of several nonlinear phenomena that arise and propagate in different plasma systems when perturbations are considered in multidimensions.
Related Topics
Concepts
Bilinear interpolation
Dissipative system
Nonlinear system
Physics
Applied mathematics
Rogue wave
Soliton
Boussinesq approximation (buoyancy)
Statistical physics
Mathematical analysis
Mathematics
Mechanics
Quantum mechanics
Natural convection
Statistics
Convection
Rayleigh number
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.rineng.2024.102727
- OA Status
- gold
- Cited By
- 18
- References
- 61
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4401556576
All OpenAlex metadata
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https://doi.org/10.1016/j.rineng.2024.102727Digital Object Identifier
- Title
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Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumpsWork title
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articleOpenAlex work type
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-08-14Full publication date if available
- Authors
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Abdul‐Majid Wazwaz, Weaam Alhejaili, R. T. Matoog, S. A. El-TantawyList of authors in order
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https://doi.org/10.1016/j.rineng.2024.102727Publisher landing page
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goldOpen access status per OpenAlex
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https://doi.org/10.1016/j.rineng.2024.102727Direct OA link when available
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Bilinear interpolation, Dissipative system, Nonlinear system, Physics, Applied mathematics, Rogue wave, Soliton, Boussinesq approximation (buoyancy), Statistical physics, Mathematical analysis, Mathematics, Mechanics, Quantum mechanics, Natural convection, Statistics, Convection, Rayleigh numberTop concepts (fields/topics) attached by OpenAlex
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18Total citation count in OpenAlex
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2025: 14, 2024: 4Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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