New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy

Wei Zhu, Jian-Yong Wang, Kai Zhou, Shoufeng Shen, Bo Ren and Mohammad Mirzazadeh

Advances in Mathematical Physics, 2024, vol. 2024, 1-7

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5533472

DOI: 10.1155/2024/5533472

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