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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 2, Pages 226–232 (Mi tmf4984)  

This article is cited in 137 scientific papers (total in 137 papers)

Spatial dispersion of nonlinearity and stability of multidimensional solitons

S. K. Turitsyn
References:
Abstract: In the framework of the modified nonlinear Schrödinger equation it is shown that one of the mechanisms ensuring the existence of stable multidimensional solitons is nonlocality of nonlinear interaction. Degeneracy of the quasiparticle dispersion law has an analogous effect on the stability of non-one-dimensional solitons.
Received: 20.09.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 2, Pages 797–801
DOI: https://doi.org/10.1007/BF01017959
Bibliographic databases:
Language: Russian
Citation: S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons”, TMF, 64:2 (1985), 226–232; Theoret. and Math. Phys., 64:2 (1985), 797–801
Citation in format AMSBIB
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\by S.~K.~Turitsyn
\paper Spatial dispersion of nonlinearity and stability of multidimensional solitons
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\yr 1985
\vol 64
\issue 2
\pages 226--232
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=826520}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 2
\pages 797--801
\crossref{https://doi.org/10.1007/BF01017959}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985A491800005}
Linking options:
  • https://www.mathnet.ru/eng/tmf4984
  • https://www.mathnet.ru/eng/tmf/v64/i2/p226
  • This publication is cited in the following 137 articles:
    1. Ziheng Zhang, Ying Wang, “Normalized ground state solutions of the biharmonic Schrödinger equation with general mass supercritical nonlinearities”, Applied Mathematics Letters, 163 (2025), 109415  crossref
    2. Volodymyr M. Lashkin, Oleg K. Cheremnykh, “Interaction of upper hybrid waves with dust-ion-magnetoacoustic waves and stable two-dimensional solitons in dusty plasmas”, Physics of Plasmas, 32:2 (2025)  crossref
    3. Tegegne Getachew, “On the radius of spatial analyticity for the quintic fourth-order nonlinear Schrödinger equation on ℝ2”, Int. J. Math., 36:05 (2025)  crossref
    4. Zhouji Ma, Xiaojun Chang, Zhaosheng Feng, “Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities”, ejde, 2024:01-?? (2024), 29  crossref
    5. Maria Chiara Braidotti, Martino Lovisetto, Radivoje Prizia, Claire Michel, Clamond Didier, Matthieu Bellec, Ewan M. Wright, Bruno Marcos, Daniele Faccio, “Experimental observation of violent relaxation”, Commun Phys, 7:1 (2024)  crossref
    6. Volodymyr M. Lashkin, Oleg K. Cheremnykh, “Modulational instability and collapse of internal gravity waves in the atmosphere”, Phys. Rev. E, 110:2 (2024)  crossref
    7. Bartosz Bieganowski, Jarosław Mederski, Jacopo Schino, “Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems”, J Geom Anal, 34:10 (2024)  crossref
    8. Constanza Sánchez de la Vega, Juan Pablo Borgna, Diego Rial, “Optimal Control for Optical Solitons in Nematic Liquid Crystals”, Appl Math Optim, 90:2 (2024)  crossref
    9. Claudio Conti, “Random walk and non-Gaussianity of the 3D second-quantized Schrödinger–Newton nonlocal soliton”, New J. Phys., 25:2 (2023), 023026  crossref
    10. Pawel S. Jung, Georgios G. Pyrialakos, Jacek Pilka, Michal Kwasny, Ula Laudyn, Marek Trippenbach, Demetrios N. Christodoulides, Wieslaw Krolikowski, “Stable fundamental two-dimensional solitons in media with competing nonlocal interactions”, Chaos, Solitons & Fractals, 171 (2023), 113381  crossref
    11. Bo Luo, Jun-Rong He, “Light bullet solutions in a dual-core waveguide amplifier with different modulated coefficients and a varying source”, Indian J Phys, 97:7 (2023), 2117  crossref
    12. M. Lapine, M. Gorlach, “Current trends and nonlinear effects in multilayered metamaterials—FF-1:IL01”, Ceramics International, 49:14 (2023), 24422  crossref
    13. Pawel Jung, Georgios G. Pyrialakos, Jacek Pilka, Michal Kwasny, Urszula Anna Laudyn, Marek Trippenbach, Demetrios N. Christodoulides, Wieslaw Krolikowski, “Stable Fundamental Two-Dimensional Solitons in Media with Competing Nonlocal Interactions”, 2023  crossref
    14. Boris A. Malomed, Multidimensional Solitons, 2022, 13-1  crossref
    15. Boris A. Malomed, “Two-Dimensional Solitons in Nonlocal Media: A Brief Review”, Symmetry, 14:8 (2022), 1565  crossref
    16. V. K. Mezentsev, E. Podivilov, I. A. Vaseva, M. P. Fedoruk, A. M. Rubenchik, S. K. Turitsyn, “Nonlinear beam tapering and two-dimensional ring solitons”, Phys. Rev. E, 106:5 (2022)  crossref
    17. Boris A. Malomed, Multidimensional Solitons, 2022, 1-1  crossref
    18. Aleksandr N Bugay, Vyacheslav A Khalyapin, “Analytical calculation of the parameters of light bullets propagating in the tunnel ionization regime”, Laser Phys., 32:2 (2022), 025401  crossref
    19. Gang Xu, Josselin Garnier, Adrien Fusaro, Antonio Picozzi, “Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media”, Physica D: Nonlinear Phenomena, 434 (2022), 133230  crossref
    20. Kaho Ho, Shingyu Leung, Jianliang Qian, “Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations”, J Sci Comput, 88:3 (2021)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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