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- Title
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy.
- Authors
Zhu, Wei; Wang, Jian-Yong; Zhou, Kai; Shen, Shoufeng; Ren, Bo
- Abstract
The multilinear variable separation (MLVS) approach has been proven to be very useful in solving (2 + 1)-dimensional integrable systems. Taking the (3 + 1)-dimensional Burgers hierarchy as an example, we extend the MLVS approach to a whole family of (3 + 1)-dimensional Burgers hierarchy. New exact solutions and universal formulas are obtained, which lead to abundant (3 + 1)-dimensional coherent structures. In particular, two ring-type soliton molecules and their interactions are shown in detail. We also generalize the MLVS results of the (3 + 1)-dimensional Jimbo–Miwa (JM) equation and modified JM equation.
- Subjects
SEPARATION of variables; HAMBURGERS
- Publication
Advances in Mathematical Physics, 2024, Vol 2024, p1
- ISSN
1687-9120
- Publication type
Article
- DOI
10.1155/2024/5533472