文献类型：期刊文献

英文题名：Painleve Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation

作者：Ren, Bo[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2021

卷号：2021

外文期刊名：ADVANCES IN MATHEMATICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000620492500001)、、WOS

基金：This work is supported by the National Natural Science Foundation of China No. 11775146.

语种：英文

外文摘要：The Painleve 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.