التفاصيل البيبلوغرافية
| العنوان: |
Soliton Molecules, Multi-Breathers and Hybrid Solutions in [2+1]-Dimensionalkorteweg-De Vries-Sawada-Kotera-Ramani Equation |
| المؤلفون: |
Ren, Bo |
| المساهمون: |
Wei, Peng-Fei (VerfasserIn); Long, Chun-Xiao (VerfasserIn); Zhu, Chen (VerfasserIn); Zhuo, Yi-Ting (VerfasserIn); Yu, Hui-Zhen (VerfasserIn) |
| المصدر: |
2022 |
| الناشر: |
[S.l.]: SSRN |
| اللغة: |
English |
| نوع الوثيقة: |
Elektronische Ressource im Fernzugriff |
| Manifestation: |
Monographie [unabhängig ob Stück einer Reihe] |
| مستخلص: |
The (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani (KdVSKR) equation which consists of the KdV equation and the SK equation is studied. The soliton molecules of the KdVSKR are given by means of the velocity resonance mechanism. By selecting the values of the phases, the soliton molecule bounded by the three solitons is transferred to other type of the soliton molecule bounded by the asymmetric soliton and one soliton. The multi-breather solutions are derived by selecting the complex conjugate relations in the parameters. The relative positions for the maximum amplitudes of the multi-breathers can adjust with different values of the phases. It demonstrates that the phases of the multi-soliton solutions play an important effect in certain phenomena. In the meanwhile, the interactions between a soliton molecule and one-order breather, and between a soliton molecule and one-order lump of the KdVSKR equation are analyzed. The interactions are an elastic collisions by both the analytical and graphical ways |
| DOI: |
10.2139/ssrn.4036294 |
| رقم الأكسشن: |
EDSZBW1810355621 |
| قاعدة البيانات: |
ECONIS |
