Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6687632 |
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| author | Bo Ren |
| author_facet | Bo Ren |
| author_sort | Bo Ren |
| collection | DOAJ |
| description | The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric soliton of the higher-order Boussinesq equation can be constructed by the velocity resonance mechanism. Lump solution can be derived by solving the bilinear form of the higher-order Boussinesq equation. By some detailed calculations, the lump wave of the higher-order Boussinesq equation is just the bright form. These types of the localized excitations are exhibited by selecting suitable parameters. |
| format | Article |
| id | doaj-art-74894de1c5e74f74953e88e593b85bcf |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-74894de1c5e74f74953e88e593b85bcf2025-02-03T05:49:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66876326687632Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq EquationBo Ren0Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaThe Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric soliton of the higher-order Boussinesq equation can be constructed by the velocity resonance mechanism. Lump solution can be derived by solving the bilinear form of the higher-order Boussinesq equation. By some detailed calculations, the lump wave of the higher-order Boussinesq equation is just the bright form. These types of the localized excitations are exhibited by selecting suitable parameters.http://dx.doi.org/10.1155/2021/6687632 |
| spellingShingle | Bo Ren Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation Advances in Mathematical Physics |
| title | Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation |
| title_full | Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation |
| title_fullStr | Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation |
| title_full_unstemmed | Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation |
| title_short | Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation |
| title_sort | painleve analysis soliton molecule and lump solution of the higher order boussinesq equation |
| url | http://dx.doi.org/10.1155/2021/6687632 |
| work_keys_str_mv | AT boren painleveanalysissolitonmoleculeandlumpsolutionofthehigherorderboussinesqequation |