期刊
NONLINEAR DYNAMICS
卷 92, 期 3, 页码 1369-1377出版社
SPRINGER
DOI: 10.1007/s11071-018-4132-2
关键词
Nonlocal long-wave-short-wave resonance interaction equation; PT symmetry; Soliton solution; Bilinear transform method
资金
- National Key Research and Development Program of China [2016YFC1402000, 2016YFC1402304]
- NSFC-Shandong Joint Fund for Marine Science Research Centers [U1606405]
Under investigation in this work is a newly proposed nonlocal long-wave-short-wave resonance interaction (LSRI) equation with the self-induced parity-time (PT) symmetric potential. This equation offers PT symmetry analogues of the classical integrable LSRI equation and may be important for the occurence of such equations in nonlinear optics as the nonlocal NLS equation. General soliton solutions to the nonlocal LSRI equation with nonzero boundary condition are derived by using the Hirota's bilinear method combined with the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These solutions are expressed in terms of Gramian determinants and include dark-dark solitons, dark-antidark solitons and antidark-antidark solitons. Three typical cases of the two solitons, namely two dark-dark solitons, two dark-antidark solitons and two antidark-antidark solitons, are demonstrated.
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