Journal ArticleDOI
Dissipative solitons
Christo I. Christov,Manuel G. Velarde +1 more
- pp 323-347
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The article was published on 1995-03-02. It has received 510 citations till now. The article focuses on the topics: Dissipative system.read more
Citations
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Dissipative solitons for mode-locked lasers
Philippe Grelu,Nail Akhmediev +1 more
TL;DR: In this paper, the concept of dissipative solitons and their application to high-energy mode-locked fiber laser cavities are discussed, and an outlook of the field is also provided.
Journal ArticleDOI
Exceptional points in optics and photonics.
TL;DR: The topic of exceptional points in photonics is reviewed and some of the possible exotic behavior that might be expected from engineering such systems are explored, as well as new angle of utilizing gain and loss as new degrees of freedom, in stark contrast with the traditional approach of avoiding these elements.
Journal ArticleDOI
Discrete Solitons in Optics
Falk Lederer,George I. Stegeman,Demetri N. Christodoulides,Gaetano Assanto,M. Segev,Yaron Silberberg +5 more
TL;DR: In this article, the authors provide an overview of recent experimental and theoretical developments in the area of optical discrete solitons, which represent self-trapped wavepackets in nonlinear periodic structures and result from the interplay between lattice diffraction (or dispersion) and material nonlinearity.
Posted Content
Dissipative Kerr solitons in optical microresonators
TL;DR: In this article, the discovery and stable generation of temporal dissipative Kerr solitons in continuous-wave (CW) laser driven optical microresonators is described and analytical and numerical descriptions are presented that do not only reproduce qualitative features but can also be used to accurately model and predict the characteristics of experimental systems.
Journal ArticleDOI
Stability analysis for solitons in PT-symmetric optical lattices
TL;DR: In this article, the stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one-and two-dimensional systems.
References
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Journal ArticleDOI
A quantitative description of membrane current and its application to conduction and excitation in nerve
A. L. Hodgkin,A. F. Huxley +1 more
TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
Journal ArticleDOI
The Chemical Basis of Morphogenesis
TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.
Journal ArticleDOI
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI
Pattern formation outside of equilibrium
Michael Cross,P. C. Hohenberg +1 more
TL;DR: A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented in this article, with emphasis on comparisons between theory and quantitative experiments, and a classification of patterns in terms of the characteristic wave vector q 0 and frequency ω 0 of the instability.
Journal ArticleDOI
Impulses and Physiological States in Theoretical Models of Nerve Membrane
TL;DR: Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of non-linear differential equations with either a stable singular point or a limit cycle, which qualitatively resembles Bonhoeffer's theoretical model for the iron wire model of nerve.
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