Moving Self-Localized Modes for the Displacement Field in a One-Dimensional Lattice System with Quartic Anharmonicity

1992 ◽  
Vol 61 (7) ◽  
pp. 2186-2189 ◽  
Author(s):  
Kazunari Hori ◽  
Shozo Takeno
1996 ◽  
Vol 06 (10) ◽  
pp. 1775-1787 ◽  
Author(s):  
GUOXIANG HUANG ◽  
SEN-YUE LOU ◽  
MANUEL G. VELARDE

The dynamics of localized nonlinear excitations of resonant frequencies ωj (j = 0, 1, 2, 3) and carrier wave frequency frequency ωe≈ωj in a damping and parametrically driven lattice system is considered. The excitations are created in a one-dimensional nonlinearly coupled diatomic pendulum lattice which is subjected to a vertical oscillation of frequency 2ωe. The recent experimental observation of gap solitons, resonant kinks, and intrinsic localized modes in the diatomic pendulum lattice system are explained by using an extended nonlinear Schrödinger theory after neglecting the nonuniformity of the pendulums and the small periodic modulations of the amplitudes of the excitations.


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