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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	108008
Journal	Applied Mathematics Letters
Volume	130
DOIs	https://doi.org/10.1016/j.aml.2022.108008
State	Published - Aug 2022

Keywords

Multiple-high-order poles soliton solution
NVBC
RH method
The focusing QNLS

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10.1016/j.aml.2022.108008

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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",

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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

Abstract

Keywords

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