期刊
NONLINEAR DYNAMICS
卷 93, 期 4, 页码 1799-1808出版社
SPRINGER
DOI: 10.1007/s11071-017-3895-1
关键词
Nonlinear nonlocal partial differential equations; Darboux transformations; Exact solutions; solitons; Rogue waves
资金
- Global Change Research Program of China [2015CB953904]
- Shanghai Knowledge Service Platform for Trustworthy Internet of Things [ZF1213]
- National Natural Science Foundations of China [11435005]
- K. C. Wong Magna Fund in Ningbo University
To describe two-place events, Alice-Bob systems have been established by means of the shifted parity and delayed time reversal in the preprint this paper, we mainly study exact solutions of the integrable Alice-Bob modified Korteweg de-Vries (AB-mKdV) system. The general Nth Darboux transformation for the AB-mKdV equation is constructed. By using the Darboux transformation, some types of shifted parity and time reversal symmetry breaking solutions including one-soliton, two-soliton, and rogue wave solutions are explicitly obtained. In addition to the similar solutions of the mKdV equation (group invariant solutions), there are abundant new localized structures for the AB-mKdV systems.
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