Abstract
The scalar problem of the scattering of a wave from a nonlinear insertion lying in the interior of a waveguide is reduced by the incomplete Galerkin method to the boundary value problem for a Hamiltonian system. The cases in which this problem admits a solution in finite terms are indicated. Examples are given to illustrate specific phenomena due to the nonlinearity of the problem.
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Original Russian Text © A.N. Bogolyubov, M.D. Malykh, A A. Belov, 2012, published in Vestnik Moskovskogo Universiteta. Fizika, 2012, No. 5, pp. 49–51.
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Bogolyubov, A.N., Malykh, M.D. & Belov, A.A. Modeling a waveguide with a nonlinear insert with a quadratic nonlinearity. Moscow Univ. Phys. 67, 462–465 (2012). https://doi.org/10.3103/S0027134912050049
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DOI: https://doi.org/10.3103/S0027134912050049