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- W2896650701 abstract "We consider nonlinear optical systems describing the propagation of beams in Kerr-type nonlinear media, experiencing diffraction in transverse and longitudinal directions. The first model investigated, under nonparaxial approximation, is the complex nonlinear Helmholtz equation, recast into a coupled, real system of partial differential equations. We construct and apply its conserved vectors to determine exact solutions. This approach of a double reduction combines a point symmetry with a particular conservation law to enact a reduction and derive solutions. A second model is also studied, that is related to the Maxwell’s equations under paraxial approximation — a version of the nonlinear Schrödinger equation. We show that when the paraxial effect vanishes, a number of additional exact solutions and conservation laws are admitted." @default.
- W2896650701 created "2018-10-26" @default.
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- W2896650701 date "2018-09-01" @default.
- W2896650701 modified "2023-09-25" @default.
- W2896650701 title "Solutions for ultra-broad beam propagation in a planar waveguide with Kerr-like nonlinearity" @default.
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- W2896650701 doi "https://doi.org/10.1142/s0218863518500327" @default.
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