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- W2070932860 abstract "Based on the nonlinear Helmholtz equation, we consider a model of the propagation of non-paraxial optical solitons, namely the non-paraxial nonlinear Schrödinger equation. Using this model, we present a theoretical treatment leading to dynamical equations of motion by means of the collective variable (CV) approach. We show that the non-paraxiality parameter leads to a more complicated analysis of the dynamics of the relevant parameters, called CVs, associated with the soliton in comparison with those behaviors taking into account the approximation of the slowly varying amplitude of the propagating beam. We provide some propagation results of the analysis on a typical semi-infinite Kerr medium for some coefficient values of the model. Also, we find that stable propagation of non-paraxial solitons can be achieved for an appropriate choice of parameters." @default.
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- W2070932860 date "2011-08-04" @default.
- W2070932860 modified "2023-10-18" @default.
- W2070932860 title "Analysis of non-paraxial solitons using a collective variable approach" @default.
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- W2070932860 doi "https://doi.org/10.1088/0031-8949/84/03/035002" @default.
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