(3 + 1)-Dimensional Burgers Hierarchy 的新多线性变量分离方案

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Mathematical Physics Pub Date : 2024-04-30 DOI:10.1155/2024/5533472
Wei Zhu, Jian-Yong Wang, Kai Zhou, Shoufeng Shen, Bo Ren
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引用次数: 0

摘要

多线性变量分离(MLVS)方法已被证明在求解(2 + 1)维可积分系统中非常有用。以 (3 + 1)-dimensional Burgers hierarchy 为例,我们将 MLVS 方法扩展到整个 (3 + 1)-dimensional Burgers hierarchy 系列。我们获得了新的精确解和通用公式,从而得到了丰富的 (3 + 1) 维相干结构。特别是,我们详细展示了两个环型孤子分子及其相互作用。我们还推广了 (3 + 1) 维 Jimbo-Miwa (JM) 方程和修正 JM 方程的 MLVS 结果。
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New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy
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.
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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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