Year: 2024
Type: article
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.
Source: Advances in Mathematical Physics
DOI: 10.1155/2024/5533472
Authors: Wei Zhu, Jian-Yong Wang, Kai Zhou, Shoufeng Shen, Bo Ren
Institutions: Quzhou University, Zhejiang University of Technology
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,450
Award: G5576404549
OpenAlex ID: W4396558083