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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Veröffentlicht in: | Advances in Mathematical Physics 2021-02, Vol.2021, p.1-6 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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. |
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ISSN: | 1687-9120 1687-9139 |
DOI: | 10.1155/2021/6687632 |