Shifted nonlocal Kundu type equations: Soliton solutions

Aslı Pekcan

doi:10.1016/j.padiff.2022.100292

Shifted nonlocal Kundu type equations: Soliton solutions

Aslı Pekcan

Division of Applied Mathematics

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

8 Citations (Scopus)

Abstract

We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations.

Original language	English
Article number	100292
Journal	Partial Differential Equations in Applied Mathematics
Volume	5
DOIs	https://doi.org/10.1016/j.padiff.2022.100292
Publication status	Published - Jun 2022

Keywords

Hirota bilinear method
Kundu type equations
Shifted nonlocal reductions
Soliton solutions

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10.1016/j.padiff.2022.100292

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title = "Shifted nonlocal Kundu type equations: Soliton solutions",

abstract = "We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations.",

keywords = "Hirota bilinear method, Kundu type equations, Shifted nonlocal reductions, Soliton solutions",

author = "Aslı Pekcan",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s)",

year = "2022",

month = jun,

doi = "10.1016/j.padiff.2022.100292",

language = "English",

volume = "5",

journal = "Partial Differential Equations in Applied Mathematics",

issn = "2666-8181",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Shifted nonlocal Kundu type equations

T2 - Soliton solutions

AU - Pekcan, Aslı

PY - 2022/6

Y1 - 2022/6

N2 - We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations.

AB - We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations.

KW - Hirota bilinear method

KW - Kundu type equations

KW - Shifted nonlocal reductions

KW - Soliton solutions

UR - https://www.scopus.com/pages/publications/85125850606

U2 - 10.1016/j.padiff.2022.100292

DO - 10.1016/j.padiff.2022.100292

M3 - Article

AN - SCOPUS:85125850606

SN - 2666-8181

VL - 5

JO - Partial Differential Equations in Applied Mathematics

JF - Partial Differential Equations in Applied Mathematics

M1 - 100292

ER -

Shifted nonlocal Kundu type equations: Soliton solutions

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Keywords

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