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Soliton-like waves on dissipative Toda lattices

Makarov , Valeri A. and Ebeling, Werner and Velarde, Manuel G. (2000) Soliton-like waves on dissipative Toda lattices. International Journal of Bifurcation and Chaos, 10 (5). pp. 1075-1089. ISSN 0218-1274

Official URL: http://www.worldscientific.com/doi/abs/10.1142/S0218127400000761

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Marangoni-benard convection; Annular containers; Trains; Instability; Equation; Motions; Layers
Subjects:Sciences > Mathematics > Functions
ID Code:17070
Deposited On:13 Nov 2012 10:17
Last Modified:13 Nov 2012 10:17

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