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Stability of solitary waves for a nonlinearly dispersive equation

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  • Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solitary waves are peaked or smooth waves, depending on the wave speed. The stability of the smooth solitary waves also depends on the wave speed. Orbital stability is proved for some wave speeds, while instability is proved for others.
    Mathematics Subject Classification: 35B35, 35G25.


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