Name
Abstract | ||
|---|---|---|
The nonlocal Boussinesq equations (NLBEs) are investigated in this work. The general forms of soliton solutions of the equations are firstly derived via Hirota bilinear method. Subsequently, the first-to fourth-order soliton solutions are obtained by taking auxiliary function in the bilinear form. According to the system parameter, we classify the multiple solitons into two types: stripe-like solitons and breathers. When the stripe-like solitons resonate, there are bifurcation solitons. Further, we find that solitons' bifurcation behavior is nonlinear by analytical and numerical analysis. It is interesting that there exist three-and four-leaf envelopes for the breathers. (c) 2021 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.aml.2021.107677 | APPLIED MATHEMATICS LETTERS |
Keywords | DocType | Volume |
Nonlocal Boussinesq equations, Hirota bilinear method, Bifurcation soliton, Breather | Journal | 124 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu-Lan Ma | 1 | 0 | 0.34 |
| Bang-Qing Li | 2 | 0 | 0.68 |