Instability of Solitary Waves for a Nonlinearly Dispersive Equation
نویسندگان
چکیده
Solitary-wave solutions of a nonlinearly dispersive evolution equation are considered. It is shown that these waves are unstable in a certain parameter range.
منابع مشابه
Stability of Solitary Waves for a Nonlinearly Dispersive Equation
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.
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