A few salient features of dissipative solitons in crystal-like lattices of active units

A.P. Chetverikov, W. Ebeling, E. del Rio, K.S. Sergeev and M.G. Velarde

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: A few salient soliton-like wave evolutionary features of one- and two-dimensional lattices of interacting active units are provided here. In the latter case, particular attention is given to the crystal-like triangular lattice. On the one hand, the units are coupled with nearest neighbors anharmonic forces (Morse potential). On the other hand the units are endowed with the possibility of an input-output energy balance that permits evolution to a steady state and the appearance of metastable states which on occasion can be quite long lasting. The lifetimes of such metastable states depend on the lattice parameter values and the wave front width. Eventually, all metastable states evolve to steady translational modes especially under influence of noise.

Keywords: Solitons; Particles; Nonlinear waves; Ensembles; Morse potential (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005336

DOI: 10.1016/j.chaos.2021.111179

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