On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation (Q602703)
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| Language | Label | Description | Also known as |
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| English | On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation |
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On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation (English)
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5 November 2010
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The author investigates the stability of a four-parameter family of spatially periodic traveling wave solutions of the generalized Benjamin-Bona-Mahony equation under two classes of perturbations: (1) periodic perturbations with the same periodic structure as the underlying wave, and (2) long wavelength localized perturbations based on variational methods.
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generalized Benjamin-Bona-Mahony equation
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periodic waves
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modulational instability
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nonlinear stability
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periodic Evans function
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