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Titlebook: Dissipative Solitons: From Optics to Biology and Medicine; Adrian Ankiewicz,Nail Akhmediev Book 2008 Springer-Verlag Berlin Heidelberg 200

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https://doi.org/10.1057/9781137011459f Maxwell–Duffing type, describing forward- and backward-propagating waves in such a grating, is derived. Exact solitary wave solutions are found, analyzed, and compared with the results of direct numerical simulations.
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https://doi.org/10.1007/978-3-642-18396-6m several fields, including classical soliton theory, nonlinear dynamics, with its theory of bifurcations, and Prigogine’s concept of self-organization. A new notion, emerging from this three-part foundation, allows us to build the novel concept of the dissipative soliton. We also show that reductio
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https://doi.org/10.1007/978-3-642-18396-6a rich panoply of mathematical model equations whose solutions are dissipative solitons. The presentation is made by first introducing heuristic arguments and subsequently developing appropriate long-wave expansions to account for the phenomena involved in the most significant way.
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https://doi.org/10.1007/978-3-642-18396-6n the recent years due to their possible application to optical information processing. First of all, this review chapter illustrates the physics of cavity solitons in semiconductor devices. We discuss the experiments which demonstrated cavity solitons in vertical-cavity surface-emitting lasers, bot
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Jean-Pierre Vidalain,Louis Setieyase when nonlinearity relaxation and non-locality are important. Depending on the values of the relaxation times and diffusion coefficients for gain and absorption, we find stable stationary dissipative solitons which are similar to those in class A lasers, slowly moving dissipative solitons, and al
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https://doi.org/10.1007/978-3-642-18396-6dvocated for use in fast and compact optical information storage. We discuss the instabilities that can affect cavity solitons appearing in Kerr cavities. In particular, cavity solitons may exhibit a Hopf bifurcation leading to self-pulsating behavior, which is then followed by the destruction of th
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Jean-Pierre Vidalain,Louis Setieyre studied in both experiments and numerical simulations, revealing interesting new behaviors. This chapter focuses on the following three subjects: collisions between dissipative solitons, pulsations of dissipative solitons, and vibrations of soliton pairs. Different outcomes of collisions between
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Climate Anomalies and the , Phenomenonion of temporal solitons – short pulses of light traveling down an optical fiber which are stabilized by nonlinearity. This technology is very successful, and yet the data-carrying capacity of optical fiber, even though it is enormous, is on the verge of reaching a fundamental limit. Concepts beyond
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