Xiu-Bin Wang, Sh.-F. Tian, “Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation”, TMF, 212:3 (2022), 354–373; Theoret. and Math. Phys., 212:3 (2022), 1193

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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 354–373
DOI: https://doi.org/10.4213/tmf10254 (Mi tmf10254)

This article is cited in 16 scientific papers (total in 16 papers)

Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation

Xiu-Bin Wang, Sh.-F. Tian

School of Mathematics, China University of Mining and Technology, Xuzhou, China

Full-text PDF (1338 kB) Citations (16)

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DOI: https://doi.org/10.4213/tmf10254

Abstract: We theoretically calculate general higher-order soliton solutions of the space-shifted parity–time-symmetric nonlocal multicomponent nonlinear Schrödinger equation via a Darboux dressing transformation with an asymptotic expansion method. A family of solutions is presented in separating variables. In particular, the obtained solutions contain rich dynamical patterns, most of which have no counterparts in the corresponding local nonlinear Schrödinger equation. These results may contribute to explaining and enriching the corresponding nonlinear wave phenomena emerging in nonlocal wave modes.

Keywords: integrable shifted nonlocal multicomponent nonlinear Schrödinger equation, Darboux dressing transformation, solitons.

Funding agency	Grant number
National Natural Science Foundation of China	11975306
This work is supported by the National Natural Science Foundation of China under grant No. 11975306.

Received: 20.01.2022
Revised: 07.03.2022

English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1193–1210
DOI: https://doi.org/10.1134/S0040577922090033

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: Xiu-Bin Wang, Sh.-F. Tian, “Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation”, TMF, 212:3 (2022), 354–373; Theoret. and Math. Phys., 212:3 (2022), 1193–1210

Citation in format AMSBIB

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https://www.mathnet.ru/eng/tmf10254

https://doi.org/10.4213/tmf10254

https://www.mathnet.ru/eng/tmf/v212/i3/p354

This publication is cited in the following 16 articles:

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Ya-Hui Liu, Rui Guo, Jian-Wen Zhang, “Inverse scattering transform for an integrable inhomogeneous time shifted nonlocal lattice”, Nuclear Physics B, 1011 (2025), 116798
Minghan Liu, Jalil Manafian, Gurpreet Singh, Abdullah Saad Alsubaie, Khaled Hussein Mahmoud, Parvin Mustafayeva, “Wave Profile, Paul-Painlevé Approaches and Phase Plane Analysis to the Generalized (3+1)-Dimensional Shallow Water Wave Model”, Qual. Theory Dyn. Syst., 23:1 (2024)
Xin Wu, Yong Chen, Xue-Wei Yan, “General soliton, line breather and (semi-)rational solutions for the nonlocal long-wave-short-wave resonance interaction equation”, Nonlinear Dyn, 112:1 (2024), 661
Xue-Wei Yan, Yong Chen, Xin Wu, “Robust inverse scattering analysis of discrete high-order nonlinear Schrödinger equation”, Zeitschrift für Naturforschung A, 79:4 (2024), 391
Jalil Manafian, Baharak Eslami, Gurpreet Singh, Anjan Kumar, Naief Alabed Alkader, Freddy Ajila, Qurbanova Afat Qahraman Qizi, “Investigating the irrotational gravity waves along the surface of an inviscid incompressible fluid model by modified nonlinear Schrödinger equation”, Opt Quant Electron, 56:5 (2024)
Jiguang Rao, Dumitru Mihalache, Minjie Ma, Jingsong He, “The coupled space-shifted nonlocal nonlinear Schrödinger equation: Multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons”, Physics Letters A, 493 (2024), 129244
Zhanhong Ren, Minjie Ma, Jiguang Rao, “Asymptotic collision properties of multiple antidark and dark soliton pairs in partially and fully space-shifted $\varvec{\mathcal{P}\mathcal{T}}$ -symmetric nonlocal Davey–Stewartson I equations”, Nonlinear Dyn, 112:3 (2024), 2175
Mark J. Ablowitz, Ziad H. Musslimani, Nicholas J. Ossi, “Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations”, Stud Appl Math, 2024
D. Jiang, Zhaqilao, “Solitons, breathers and periodic rogue waves for the variable-coefficient seventh-order nonlinear Schrödinger equation”, Phys. Scr., 98:8 (2023), 085236
F. Zhou, J. Rao, D. Mihalache, J. He, “The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation”, Applied Mathematics Letters, 146 (2023), 108796
W.-X. Zhang, Y. Liu, “Direct reduction approach and soliton solutions for the integrable space–time shifted nonlocal Sasa-Satsuma equation”, Results in Physics, 49 (2023), 106509
J.-G. Rao, S.-A. Chen, Z.-J. Wu, J.-S. He, “General higher-order rogue waves in the space-shifted $\mathcal{PT}$ -symmetric nonlocal nonlinear Schrödinger equation”, Acta Phys. Sin., 72:10 (2023), 104204
H. I. Abdel-Gawad, “Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: Modulation instability”, Commun. Theor. Phys., 75:6 (2023), 065005
Ji-Guang Rao, Sheng-An Chen, Zhao-Jun Wu, Jin-Song He, “General higher-order rogue waves in the space-shifted <inline-formula><tex-math id="M2">\begin{document} $\mathcal{PT}$ \end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="10-20222298_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="10-20222298_M2.png"/></alternatives></inline-formula>-symmetric nonlocal nonlinear Schrödinger equation”, Acta Phys. Sin., 72:10 (2023), 104204

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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