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1:2 Resonance Mediated Second Harmonic Generation in a 1-D Nonlinear Discrete Periodic Medium

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Publication:2706109
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DOI10.1137/S0036139999365341zbMath1140.37363OpenAlexW2014166440MaRDI QIDQ2706109

Anna Georgieva, Stephanos Venakides, Thomas Kriecherbauer

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139999365341


zbMATH Keywords

dispersion relationtraveling waves1:2 resonancesecond harmonic generationfrequency doublingdiatomic particle chains


Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) The dynamics of infinite particle systems (70F45)


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