Open AccessNONLINEAR ELEMENTARY EXCITATION IN ONE-DIMENSIONAL LATTICE WITH SECOND NEAREST-NEIGHBOR INTERACTION
Author(s) -
Feng Pei-Cheng,
Wang Deng-Long,
Yi Tang
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1110
Subject(s) - anharmonicity , physics , nonlinear system , lattice (music) , quartic function , envelope (radar) , k nearest neighbors algorithm , excitation , amplitude , soliton , condensed matter physics , quantum mechanics , statistical physics , mathematics , telecommunications , radar , artificial intelligence , computer science , acoustics , pure mathematics
Considering the second nearest-neighbor interaction and cubic,quartic anharmonic interactions simultaneously, we employ the multiple scales method combined with a quasidiscreteness approximation to calculate the lattice vibration.It is shown that the kind of nonlinear chain exhibits envelope soliton,envelope kink and envelope antikink soliton.These results can also be used to explain the experimental phenomena that the kink amplitude of the self-localized structure is determined only by the intrinsic properties of its lattices.