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- W2074863016 abstract "The nonlinear problem of the wave propagation is considered. In addition to Kerr nonlinearity the question of the existence of concentrated solutions is analyzed for the threshold and saturable nonlinearity. It is shown that both in the case of threshold nonlinearity, and in the case of saturable nonlinearity solitary waves – concentrated solutions of the corresponding wave equations exist. For the nonlocal nonlinearity, it is taken into account that the diffusion process transforms the interaction of the electromagnetic field with the environment. This phenomenon is described by the system of differential equations including the equation for the perturbation of the dielectric permittivity. The mathematical problem is reduced to the eigenvalue problem for nonlinear integro-differential equation of Hartree type. The computational procedure is constructed." @default.
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- W2074863016 date "2014-03-05" @default.
- W2074863016 modified "2023-10-18" @default.
- W2074863016 title "Nonlinear interaction of the concentrated waves" @default.
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- W2074863016 doi "https://doi.org/10.1088/1742-6596/482/1/012013" @default.
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