RT Journal Article
T1 Soliton-like waves on dissipative Toda lattices
A1 Makarov Slizneva, Valeriy
A1 Ebeling, Werner
A1 Velarde, Manuel G.
AB Dissipative soliton-like waves in 1D Toda lattices generated by suitable energy supply from external sources have been studied. Using the general theory of canonical-dissipative systems we have constructed a special canonical-dissipative system whose solution starting from an arbitrarily initial condition decays to a solution of the standard, conservative Toda system. The energy of the final state may be prescribed beforehand. We have also studied the influence of noise and have calculated the distribution of probability density in phase space and the energy distribution. Other noncanonical models of energy input, including nonlinear nearest neighbor coupling and "Rayleigh" friction, have been analyzed. We have shown under what conditions the lattices can sustain the propagation of stable solitary waves and wave trains.
PB World Scientific Publishing
SN 0218-1274
YR 2000
FD 2000-05
LK https://hdl.handle.net/20.500.14352/57700
UL https://hdl.handle.net/20.500.14352/57700
DS Docta Complutense
RD 9 abr 2025