Phys. Rev. E 63, 016601 (2000) [11 pages]Nontopological solitary waves in continuous and discrete one-component molecular chainsReceived 23 June 2000; published 18 December 2000 It is shown that the nontopological (bell-shaped) solitary waves in the asymmetric φ4 model are unstable and correspond to saddle points of the potential energy of the continuous system. Their lifetime is estimated. In the discrete model, the potential energy landscape becomes rough: bell-shaped configurations may become stable. The potential energy function is analyzed around the bell-shaped configurations. A dynamical scenario for the decay of the metastable state in a discrete system, related to spontaneous energy localization, is shown. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.016601
DOI:
10.1103/PhysRevE.63.016601
PACS:
05.45.Yv, 36.20.-r, 63.20.Ry
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