Localized optical vortex solitons in pair plasmas
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Luciano Medina
Abstract
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.
Acknowledgements
We thank Professor Yisong Yang for his guidance and the referee for the careful reading of this manuscript.
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Localized optical vortex solitons in pair plasmas
- Exact solutions for the total variation denoising problem of piecewise constant images in dimension one
- New generalized trapezoidal type integral inequalities with applications
- Existence of solutions of BVPs for fractional Langevin equations involving Caputo fractional derivatives
- Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications
- Optimal bounds for the sine and hyperbolic tangent means II
- A piezoelectric contact problem with slip dependent friction and damage
- Extensions of coefficient estimates for new classes of bi-univalent functions defined by Sǎlǎgean integro-differential operator
- Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities
- Caputo generalized ψ-fractional integral inequalities
- L1-solutions of the boundary value problem for implicit fractional order differential equations
- Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces
- On a family of the incomplete H-functions and associated integral transforms
- On strongly quasilinear elliptic systems with weak monotonicity
Artikel in diesem Heft
- Frontmatter
- Localized optical vortex solitons in pair plasmas
- Exact solutions for the total variation denoising problem of piecewise constant images in dimension one
- New generalized trapezoidal type integral inequalities with applications
- Existence of solutions of BVPs for fractional Langevin equations involving Caputo fractional derivatives
- Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications
- Optimal bounds for the sine and hyperbolic tangent means II
- A piezoelectric contact problem with slip dependent friction and damage
- Extensions of coefficient estimates for new classes of bi-univalent functions defined by Sǎlǎgean integro-differential operator
- Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities
- Caputo generalized ψ-fractional integral inequalities
- L1-solutions of the boundary value problem for implicit fractional order differential equations
- Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces
- On a family of the incomplete H-functions and associated integral transforms
- On strongly quasilinear elliptic systems with weak monotonicity
