期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 53, 期 19, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab81d9
关键词
Hirota equation; Landau-Lifschitz equation; Darboux transformations; PT-symmetry; multi-soliton solutions
资金
- City, University of London Research Fellowship
- Fondecyt [1171475]
We exploit the gauge equivalence between the Hirota equation and the extended continuous Heisenberg equation to investigate how nonlocality properties of one system are inherited by the other. We provide closed generic expressions for nonlocal multi-soliton solutions for both systems. By demonstrating that a specific auto-gauge transformation for the extended continuous Heisenberg equation becomes equivalent to a Darboux transformation, we use the latter to construct the nonlocal multi-soliton solutions from which the corresponding nonlocal solutions to the Hirota equation can be computed directly. We discuss properties and solutions of a nonlocal version of the nonlocal extended Landau-Lifschitz equation obtained from the nonlocal extended continuous Heisenberg equation or directly from the nonlocal solutions of the Hirota equation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据