Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation

Bo Ren

Advances in Mathematical Physics, 2021, vol. 2021, 1-6

Abstract:

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6687632

DOI: 10.1155/2021/6687632

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