Academic Journal
Multilinear Variable Separation Approach in (4+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation
| العنوان: | Multilinear Variable Separation Approach in (4+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation |
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| المؤلفون: | Jia-Rong Zhu, Bo Ren |
| المصدر: | Symmetry, Vol 16, Iss 11, p 1529 (2024) |
| بيانات النشر: | MDPI AG |
| سنة النشر: | 2024 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | (4+1)-dimensional BLMP equation, multilinear variable separation approach, velocity resonance mechanism, soliton molecule, Mathematics, QA1-939 |
| الوصف: | In this paper, we use the multilinear variable separation approach involving two arbitrary variable separation functions to construct a new variable separation solution of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Through considering different parameters, three types of local excitations including dromions, lumps, and ring solitons are constructed. Dromion molecules, lump molecules, ring soliton molecules, and their interactions are analyzed through the velocity resonance mechanism. In addition, the results reveal the elastic and inelastic interactions between solitons. We discuss some dynamical properties of these solitons and soliton molecules obtained analytically. Three-dimensional diagrams and contour plots of the solution are given to help understand the physical mechanism of the solutions. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | https://www.mdpi.com/2073-8994/16/11/1529; https://doaj.org/toc/2073-8994; https://doaj.org/article/43c10ca51a764d65834235e5997eddf1 |
| DOI: | 10.3390/sym16111529 |
| الاتاحة: | https://doi.org/10.3390/sym16111529 https://doaj.org/article/43c10ca51a764d65834235e5997eddf1 |
| رقم الانضمام: | edsbas.C60FC3C2 |
| قاعدة البيانات: | BASE |
| DOI: | 10.3390/sym16111529 |
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