Localized optical vortex solitons in pair plasmas

• Autorzy: Medina Luciano

Identyfikatory

DOI

10.1515/jaa-2020-2033

• Języki publikacji: EN

Abstrakty

EN

The dynamics of short intense electromagnetic pulses propagating in a relativistic pair plasma is governed by a nonlinear Schrödinger equation with a new type of focusing-defocusing saturable nonlinearity. In this context, we provide an existence theory for ring-profiled optical vortex solitons. We prove the existence of both saddle point and minimum type solutions. Via a constrained minimization approach, we prove the existence of solutions where the photon number may be prescribed, and we get the nonexistence of small-photon-number solutions.We also use the constrained minimization to compute the soliton’s profile as a function of the photon number and other relevant parameters.

Słowa kluczowe

EN

optical vortices; pair plasmas; nonlinear Schrödinger equation; variational methods; mountain pass theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 1
• Strony: 1--12
• Opis fizyczny: Bibliogr. 25 poz., wykr.

Twórcy

autor

Medina Luciano

• Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA

• https://orcid.org/0000-0002-5507-8134

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)