H. Riecke et Gd. Granzow, LOCALIZATION OF WAVES WITHOUT BISTABILITY - WORMS IN NEMATIC ELECTROCONVECTION, Physical review letters, 81(2), 1998, pp. 333-336
A general localization mechanism for waves in dissipative systems is i
dentified that does not require the bistability of the basic state and
the nonlinear plane-wave state. We conjecture that the mechanism expl
ains the two-dimensional localized wave structures (''worms'') that re
cently have been observed in experiments on electroconvection in nemat
ic liquid crystals where the transition to extended waves is supercrit
ical. The mechanism accounts for the shape of the worms, their propaga
tion direction, and certain aspects of their interaction. The dynamics
of the localized waves can be steady or irregular. [S0031-9007(98)065
60-0].