Hostname: page-component-54dcc4c588-9xpg2 Total loading time: 0 Render date: 2025-10-04T00:24:25.041Z Has data issue: false hasContentIssue false
  • English
  • Français

Accelerating self-modulated nonlinear waves in weakly and strongly magnetized relativistic plasmas

Published online by Cambridge University Press:  27 February 2024

Felipe A. Asenjo Open the ORCID record for Felipe A. Asenjo [Opens in a new window]
Felipe A. Asenjo*
Affiliation:
Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7491169, Chile
*
†Email address for correspondence: felipe.asenjo@uai.cl
Get access Rights & Permissions [Opens in a new window]

Abstract

It is known that a nonlinear Schrödinger equation describes the self-modulation of a large amplitude circularly polarized wave in relativistic electron–positron plasmas in the weakly and strongly magnetized limits. Here, we show that such an equation can be written as a modified second Painlevé equation, producing accelerated propagating wave solutions for those nonlinear plasmas. This solution even allows the plasma wave to reverse its direction of propagation. The acceleration parameter depends on the plasma magnetization. This accelerating solution is different to the usual soliton solution propagating at constant speed.

Keywords

plasma wavesplasma nonlinear phenomenaplasma properties

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , February 2024 , 905900119
Check for updates
Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Abdollahpour, D., Suntsov, S., Papazoglou, D.G. & Tzortzakis, S. 2010 Spatiotemporal Airy light bullets in the linear and nonlinear regimes. Phys. Rev. Lett. 105, 253901.CrossRefGoogle ScholarPubMed
Asenjo, F.A., Borotto, F.A., Chian, A.C.-L., Muñoz, V. & Valdivia, J.A. 2012 Self-modulation of nonlinear waves in a weakly magnetized relativistic electron-positron plasma with temperature. Phys. Rev. E 85, 046406.CrossRefGoogle Scholar
Baumgartl, J., Mazilu, M. & Dholakia, K. 2008 Optically mediated particle clearing using airy wavepackets. Nat. Photonics 2, 675.CrossRefGoogle Scholar
Beskin, V.S., Gurevich, A.V. & Istamin, Y.N. 1993 Physics of the Pulsar Magnetosphere. Cambridge University Press.Google Scholar
Bouchet, T., Marsal, N., Sciamanna, M. & Wolfersberger, D. 2022 Two dimensional Airy beam soliton. Sci. Rep. 12, 9064.CrossRefGoogle ScholarPubMed
Chávez-Cerda, S., Ruiz, U., Arrizón, V. & Moya-Cessa, H.M. 2011 Generation of Airy solitary-like wave beams by acceleration control in inhomogeneous media. Opt. Exp. 19, 16448.CrossRefGoogle ScholarPubMed
Chian, A.C.-L. & Kennel, C.F. 1983 Self-modulational formation of pulsar microstructures. Astrophys. Space Sci. 97, 9.CrossRefGoogle Scholar
Chong, A., Renninger, W.H., Christodoulides, D.N. & Wise, F.W. 2010 Airy–Bessel wave packets as versatile linear light bullets. Nat. Photonics 4, 103.CrossRefGoogle Scholar
Clarkson, P.A. 2003 Painlevé equations: nonlinear special functions. J. Comput. Appl. Maths 153, 127.CrossRefGoogle Scholar
Efremidis, N.K., Chen, Z., Segev, M. & Christodoulides, D.N. 2019 Airy beams and accelerating waves: an overview of recent advances. Optica 6, 686.CrossRefGoogle Scholar
Esat Kondakci, H. & Abouraddy, A.F. 2018 Airy wave packets accelerating in space–time. Phys. Rev. Lett. 120, 163901.CrossRefGoogle Scholar
Hardy, S.J. & Thoma, M.H. 2000 Neutrino-electron processes in a strongly magnetized thermal plasma. Phys. Rev. D 63, 025014.CrossRefGoogle Scholar
Ibrahim, R.S. 2003 Truncated Painlevé expansion and reduction of sine-Poisson equation to a quadrature in collisionless cold plasma. IMA J. Appl. Maths 68, 523.CrossRefGoogle Scholar
Iwamoto, S. & Takahara, F. 2002 Relativistic outflow of electron-positron pair plasma from a Wien equilibrium state. Astrophys. J. 565, 163.CrossRefGoogle Scholar
Jiang, Y., Huang, K. & Lu, X. 2012 Propagation dynamics of abruptly autofocusing Airy beams with optical vortices. Opt. Express 20, 18579.CrossRefGoogle ScholarPubMed
Kaminer, I., Bekenstein, R., Nemirovsky, J. & Segev, M. 2012 Nondiffracting accelerating wave packets of Maxwell's equations. Phys. Rev. Lett. 108, 163901.CrossRefGoogle ScholarPubMed
Khater, A.H., Callebaut, D.K. & Ibrahim, R.S. 1998 Bäcklund transformations and Painlevé analysis: exact soliton solutions for the unstable nonlinear Schrödinger equation modeling electron beam plasma. Phys. Plasmas 5, 395.CrossRefGoogle Scholar
Khater, A.H., Callebaut, D.K., Shamardan, A.B. & Ibrahim, R.S. 1997 Bäcklund transformations and Painlevé analysis: exact soliton solutions for strongly rarefied relativistic cold plasma. Phys. Plasmas 4, 3910.CrossRefGoogle Scholar
Kourakis, I. & Shukla, P.K. 2004 Electron-acoustic plasma waves: oblique modulation and envelope solitons. Phys. Rev. E 69, 036411.CrossRefGoogle ScholarPubMed
Kumar, S., Mohan, B. & Kumar, A. 2022 Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, lax, and caudrey-dodd-gibbon equations in plasma physics: Painlevé analysis and multi-soliton solutions. Phys. Scr. 97, 035201.CrossRefGoogle Scholar
Lesch, H. & Bisk, G.T. 1998 Can large-scale magnetic fields survive during the pre-recombination era of the universe? Phys. Plasmas 5, 2773.CrossRefGoogle Scholar
Li, H., Li, X. & Wang, J. 2016 Airy-like electron plasma wave. J. Plasma Phys. 82, 905820103.CrossRefGoogle Scholar
López, R.A., Asenjo, F.A., Muñoz, V., Chian, A.C.-L. & Valdivia, J.A. 2013 Self-modulation of nonlinear Alfvén waves in a strongly magnetized relativistic electron-positron plasma. Phys. Rev. E 88, 023105.CrossRefGoogle Scholar
Mahalov, A. & Suslov, S.K. 2012 An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Phys. Lett. A 377, 33.CrossRefGoogle Scholar
Minovich, A.E., Klein, A.E., Neshev, D.N., Pertsch, T., Kivshar, Y.S. & Christodoulides, D.N. 2014 Airy plasmons: non-diffracting optical surface waves. Laser Photon. Rev. 8, 221.CrossRefGoogle Scholar
Misra, A.P. & Shukla, P.K. 2011 Modulational instability and nonlinear evolution of two-dimensional electrostatic wave packets in ultra-relativistic degenerate dense plasmas. Phys. Plasmas 18, 042308.CrossRefGoogle Scholar
Panagiotopoulos, P., Papazoglou, D.G., Couairon, A. & Tzortzakis, S. 2013 Sharply autofocused ring-Airy beams transforming into non-linear intense light bullet. Nat. Commun. 4, 2622.CrossRefGoogle Scholar
Rajabi, B. & Mohammadnejad, M. 2023 Modulational instability of ion-acoustic waves in a dense quantum plasma. Phys. Plasmas 30, 082112.CrossRefGoogle Scholar
Rogers, C. & Clarkson, P.A. 2018 Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. J. Nonlinear Math. Phys. 25, 247.CrossRefGoogle Scholar
Wiersma, N., Marsal, N., Sciamanna, M. & Wolfersberger, D. 2016 Airy beam self-focusing in a photorefractive medium. Sci. Rep. 6, 35078.CrossRefGoogle Scholar
Winkler, M.A., Vásquez-Wilson, C. & Asenjo, F.A. 2023 Exact and paraxial airy propagation of relativistic electron plasma wavepackets. Eur. Phys. J. D 77, 97.CrossRefGoogle Scholar