General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition | |
Sun, Baonan1,2 | |
刊名 | NONLINEAR DYNAMICS |
2018-05 | |
卷号 | 92期号:3页码:1369-1377 |
关键词 | Nonlocal long-wave-short-wave resonance interaction equation PT symmetry Soliton solution Bilinear transform method |
ISSN号 | 0924-090X |
DOI | 10.1007/s11071-018-4132-2 |
英文摘要 | 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. |
资助项目 | NSFC-Shandong Joint Fund for Marine Science Research Centers[U1606405] |
WOS研究方向 | Engineering ; Mechanics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000429555200041 |
内容类型 | 期刊论文 |
源URL | [http://ir.fio.com.cn/handle/2SI8HI0U/2909] |
专题 | 业务部门_海洋环境与数值模拟研究室 |
作者单位 | 1.Qingdao Natl Lab Marine Sci & Technol, Lab Reg Oceanog & Numer Modeling, Qingdao 266237, Peoples R China 2.First Inst Oceanog, Lab Marine Sci & Numer Modeling, Qingdao 266061, Peoples R China; |
推荐引用方式 GB/T 7714 | Sun, Baonan. General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition[J]. NONLINEAR DYNAMICS,2018,92(3):1369-1377. |
APA | Sun, Baonan.(2018).General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition.NONLINEAR DYNAMICS,92(3),1369-1377. |
MLA | Sun, Baonan."General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition".NONLINEAR DYNAMICS 92.3(2018):1369-1377. |
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