Multiple-high-order pole solutions for the NLS equation with quartic terms

Li Li Wen; En Gui Fan; Yong Chen

doi:10.1016/j.aml.2022.108008

Multiple-high-order pole solutions for the NLS equation with quartic terms

Li Li Wen
, En Gui Fan
, Yong Chen^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms (QNLS) under the non-vanishing boundary conditions (NVBC) via the Riemann–Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.

源语言	英语
文章编号	108008
期刊	Applied Mathematics Letters
卷	130
DOI	https://doi.org/10.1016/j.aml.2022.108008
出版状态	已出版 - 8月 2022

访问文件

10.1016/j.aml.2022.108008

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{b408043717f14186a46be209dd2533da,

title = "Multiple-high-order pole solutions for the NLS equation with quartic terms",

abstract = "The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms (QNLS) under the non-vanishing boundary conditions (NVBC) via the Riemann–Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.",

keywords = "Multiple-high-order poles soliton solution, NVBC, RH method, The focusing QNLS",

author = "Wen, \{Li Li\} and Fan, \{En Gui\} and Yong Chen",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = aug,

doi = "10.1016/j.aml.2022.108008",

language = "英语",

volume = "130",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Multiple-high-order pole solutions for the NLS equation with quartic terms

AU - Wen, Li Li

AU - Fan, En Gui

AU - Chen, Yong

PY - 2022/8

Y1 - 2022/8

N2 - The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms (QNLS) under the non-vanishing boundary conditions (NVBC) via the Riemann–Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.

AB - The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms (QNLS) under the non-vanishing boundary conditions (NVBC) via the Riemann–Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.

KW - Multiple-high-order poles soliton solution

KW - NVBC

KW - RH method

KW - The focusing QNLS

UR - https://www.scopus.com/pages/publications/85125885695

U2 - 10.1016/j.aml.2022.108008

DO - 10.1016/j.aml.2022.108008

M3 - 文章

AN - SCOPUS:85125885695

SN - 0893-9659

VL - 130

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108008

ER -

Multiple-high-order pole solutions for the NLS equation with quartic terms

摘要

访问文件

其它文件与链接

指纹

引用此