Analytic rogue wave-type solutions for the generalized (2+1)-dimensional Boussinesq Equation
| Autor: | Xiu-Rong Guo |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Waves and shallow water Nonlinear Sciences::Exactly Solvable and Integrable Systems Parameter control One-dimensional space Mathematical analysis Statistical and Nonlinear Physics Fluid mechanics Rogue wave Bilinear form Type (model theory) Condensed Matter Physics Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | Modern Physics Letters B. 35:2150380 |
| ISSN: | 1793-6640 0217-9849 |
| DOI: | 10.1142/s0217984921503802 |
| Popis: | Based on the Hirota bilinear form of the generalized (2+1)-dimensional Boussinesq equation, which can be expressed as the shallow water wave mechanism appearing in fluid mechanics, we applied the new polynomial functions to construct the rational solutions and rogue wave-type solutions. Next, the system parameters control on the rational solutions and rogue wave-type solutions were also shown. As a result, we found the following basic facts: (i) these parameters may affect the wave shapes, amplitude, and bright/dark for this considered equation, (ii) the solitary wave interaction rogue waves and triplet rogue wave-type solutions can be viewed on [Formula: see text], [Formula: see text], and [Formula: see text] planes, respectively. Their nonlinear dynamic behaviors were presented by numerical simulation of the 2D- and 3D-plots. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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