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Oscillatory instabilities of gap solitons: A numerical study - MaRDI portal

Oscillatory instabilities of gap solitons: A numerical study (Q1973499)

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scientific article; zbMATH DE number 1437169
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Oscillatory instabilities of gap solitons: A numerical study
scientific article; zbMATH DE number 1437169

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    Oscillatory instabilities of gap solitons: A numerical study (English)
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    19 July 2001
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    The stability of optical gap solutions is studied. The analysis of the assosciated linearized eigenvalue problem demonstrates the existence of a cascade of oscillatory and translational instabilities. The numerical technique involved is a combination of the Fourier transform and continuous analogue of Newton's method.
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    oscillatory instabilities
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    solution stability
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    optical gap solutions
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    eigenvalue problem
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    Fourier transform
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    Newton's method
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