文章基本信息

标题：Characteristics of the Soliton Molecule and Lump Solution in the 2 1 -Dimensional Higher-Order Boussinesq Equation
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作者：Bo Ren
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2021
卷号：2021
页码：1-7
DOI：10.1155/2021/5545984
出版社：Hindawi Publishing Corporation
摘要：The soliton molecules, as bound states of solitons, have attracted considerable attention in several areas. In this paper, the 2 1 -dimensional higher-order Boussinesq equation is constructed by introducing two high-order Hirota operators in the usual 2 1 -dimensional Boussinesq equation. By the velocity resonance mechanism, the soliton molecule and the asymmetric soliton of the higher-order Boussinesq equation are constructed. The soliton molecule does not exist for the usual 2 1 -dimensional Boussinesq equation. As a special kind of rational solution, the lump wave is localized in all directions and decays algebraically. The lump solution of the higher-order Boussinesq equation is obtained by using a quadratic function. This lump wave is just the bright form by some detail analysis. The graphics in this study are carried out by selecting appropriate parameters. The results in this work may enrich the variety of the dynamics of the high-dimensional nonlinear wave field.