Kink-assisted mode hopping in a surface wave resonator
McClelland, Charles B.
Denardo, Bruce C.
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Self-localized kink structures have been observed in standing surface gravity waves in a parametrically driven annular channel of liquid. The kink regions have substantially greater amplitude and smaller wavelength than the extended mode region, and can exist indefinitely only for sufficiently large drive levels such that the structures exhibit violent breaking and jetting motion. For lower drive levels, the structures exist as transients that spontaneously participate in the transition from one mode to a mode with either one less or one more wavelength. In this mode hopping process, the destruction or creation of the wavelength occurs in the kink region. The kink structures are predicted to exist according to a theory that simultaneously allows amplitude and wave number modulations of a finite-amplitude standing wave. This situation is in fundamental contrast to nonlinear Schrodinger solitons, which correspond to only amplitude modulations, and to all other known types of solitons.
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