Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of self-organization. They can be considered as an extension of the classical soliton concept in conservative systems. An alternative terminology includes autosolitons, spots and pulses.
Apart from aspects similar to the behavior of classical particles like the formation of bound states, DSs exhibit interesting behavior – e.g. scattering, creation and annihilation – all without the constraints of energy or momentum
conservation. The excitation of internal degrees of freedom may result in a dynamically stabilized intrinsic speed, or periodic oscillations of the shape.
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Dissipativesolitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of...
multiple vector dissipativesolitons with identical soliton parameters and harmonic mode-locking to the conventional dissipative vector soliton can also be...
with negative mass. Compacton, a soliton with compact support Dissipativesoliton Freak waves may be a Peregrine soliton related phenomenon involving breather...
Albert (9 January 2017). "Nonlinear plasmonic amplification via dissipativesoliton-plasmon resonances". Physical Review A. 95 (1): 013816. arXiv:1611...
thought of as a dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has...
of a vector soliton in fiber lasers", Optics Express, 16,12618–12623 (2008). Zhang H.; et al. (2009). "Multi-wavelength dissipativesoliton operation of...
in a physical system that are stable against perturbations. Solitons won't decay, dissipate, disperse or evaporate in the way that ordinary waves (or solutions...
Patterns such as fronts, spirals, targets, hexagons, stripes and dissipativesolitons are found in various types of reaction-diffusion systems in spite...
dispersion, solitons can form. The most relevant type of solitons for Kerr frequency comb generation are bright dissipative cavity solitons, which are...
formation. Patterns such as fronts, hexagons, spirals, stripes and dissipativesolitons are found as solutions of Turing-like reaction–diffusion equations...
In physics, an oscillon is a soliton-like phenomenon that occurs in granular and other dissipative media. Oscillons in granular media result from vertically...
theory of integrable systems was revived with the numerical discovery of solitons by Martin Kruskal and Norman Zabusky in 1965, which led to the inverse...
some range for the input values, but some interesting phenomena such as solitons, chaos, and singularities are hidden by linearization. It follows that...
constructive interference. Unlike solitons (another kind of nonlinear wave), the energy and speed of a shock wave alone dissipates relatively quickly with distance...
; Oppo, G.-L. (2009). "Fundamentals and applications of spatial dissipativesolitons in photonic devices" (PDF). Advances in Atomic, Molecular and Optical...
microwave radiation so that resonance is maintained. The Handel Maser-Soliton theory of ball lightning hypothesizes that the energy source generating...
pinned by impurities. Moreover, interaction with normal carriers leads to dissipative transport, unlike a superconductor. Several quasi-2-D systems, including...
behind the conservation laws that were responsible for keeping solitons from dissipating. That is, the preservation of spectrum was an interpretation of...
velocity mismatch, described the formation of three-frequency optical dissipativesolitons, parametric pi – pulses, a giant parametric pulse (confirmed experimentally)...
sinks. The cloud quickly dissipates over land where the air is drier. The cloud can also be described as a solitary wave or a soliton or an undular bore, which...
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