For general amplitude periodic traveling waves of the Ostrovsky equation, strict hyperbolicity of the derived Whitham system implies spectral modulational stability near the origin, while ellipticity implies spectral instability.
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On the Modulation of Wave Trains in the Ostrovsky Equation
For general amplitude periodic traveling waves of the Ostrovsky equation, strict hyperbolicity of the derived Whitham system implies spectral modulational stability near the origin, while ellipticity implies spectral instability.