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Existence of Optical Vortex Solitons in Pair Plasmas

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Abstract

Optical vortices arise as phase dislocations of light fields and they are of importance in modern optical physics. In this study, we employ the calculus of variations method to develop an existence theory for the steady state vortex solutions of a nonlinear Schrödinger type equation to model light waves that propagate in a medium with a new focusing-defocusing nonlinearity. First, we demonstrate the existence of positive radially symmetric solutions by constrained minimization, where we give some interesting explicit estimates related to vortex winding numbers and the wave propagation constant. Second, we establish the existence of saddle-point solutions through a mountain-pass argument.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China

    Rui-feng Zhang

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  1. Rui-feng Zhang
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Correspondence to Rui-feng Zhang.

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The authors declare no conflict of interest.

The project is supported by the National Natural Science Foundation of China (No. 11471099) and the National Natural Science Foundation of He’nan Province of China (No. 222300420416).

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Zhang, Rf. Existence of Optical Vortex Solitons in Pair Plasmas. Acta Math. Appl. Sin. Engl. Ser. 39, 571–582 (2023). https://doi.org/10.1007/s10255-023-1075-2

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  • DOI: https://doi.org/10.1007/s10255-023-1075-2

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