Dissipative solitons. From optics to biology and medicine
type: Item
instance of: scholarly article
title: Dissipative solitons. From optics to biology and medicine
zbMATH Open document ID: 1147.35049
DOI: 10.1007/978-3-540-78217-9
published in: Lecture Notes in Physics
publication date: 2008-07-10T00:00:00Z
full work available at URL: http://cds.cern.ch/record/1338859
review text: The collection of review articles aims to present the current states of theoretical research in the field of localized one- and two-dimensional patterns in models based on nonlinear partial differential equations of the Ginzburg-Landau type (sometimes these may be discrete equations or nonlocal ones). Equations of this type apply to the description of optical media (amplifiers, fiber lasers, cavities and others), nonlinear dissipative patterns in hydrodynamics (flows, cellular structures in thermal convection, etc.), and some examples from biology (in particular, vegetation patterns and neural networks). Some articles also include brief reviews of respective experimental results and phenomenological observations. Certain essential topics belonging to the area of dissipative solitons are not covered by the book. The articles of this volume will be reviewed individually. Indexed articles: \textit{Akhmediev, N.; Ankiewicz, A.}, Three sources and three component parts of the concept of dissipative solitons, 1-28 [Zbl 1218.35183] \textit{Velarde, M. G.; Nepomnyashchy, A. A.}, Solitons in viscous flows., 29-49 [Zbl 1218.76022] \textit{Lugiato, L. A.; Prati, F.; Tissoni, G.; Brambilla, M.; Barland, S.; Giudici, M.; Tredicce, J. R.}, Cavity solitons in semiconductor devices., 51-92 [Zbl 1218.82027] \textit{Rosanov, Nikolay N.; Fedorov, Sergey V.; Shatsev, Anatoly N.}, Dissipative solitons in laser systems with non-local and non-instantaneous nonlinearly, 93-111 [Zbl 1218.78123] \textit{Colet, P.; Gomila, D.; Jacobo, A.; Matías, M. A.}, Excitability mediated by dissipative solitons in nonlinear optical cavities, 113-135 [Zbl 1218.78105] \textit{Grelu, P.; Soto-Crespo, J. M.}, Temporal soliton ``molecules'' in mode-locked lasers: collisions, pulsations, and vibrations, 137-173 [Zbl 1218.78108] \textit{Mitschke, F.}, Compounds of fiber-optic solitons, 175-194 [Zbl 1218.78118] \textit{Turitsyn, S. K.; Boscolo, S.}, Dissipative nonlinear structures in fiber optics, 195-220 [Zbl …
reviewed by: B. A. Malomed
Mathematics Subject Classification ID: 35-06
Mathematics Subject Classification ID: 37-06
Mathematics Subject Classification ID: 78-06
Mathematics Subject Classification ID: 82-06
Mathematics Subject Classification ID: 92-06
Mathematics Subject Classification ID: 00B15
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q56
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 5299199
zbMATH Keywords: Ginzburg-Landau equations
zbMATH Keywords: optical amplifier
zbMATH Keywords: fiber laser
zbMATH Keywords: bistability
zbMATH Keywords: solitary pulse
zbMATH Keywords: dissipative structure
zbMATH Keywords: vortex
zbMATH Keywords: viscosity
zbMATH Keywords: cellular pattern
zbMATH Keywords: discrete soliton
zbMATH Keywords: breather
zbMATH Keywords: pattern formation
zbMATH Keywords: modulational instability
zbMATH Keywords: spatial soliton
zbMATH Keywords: neural network
MaRDI profile type: Publication
OpenAlex ID: W1658839844
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description: scientific article; zbMATH DE number 5299199