How to use autosolitons in a sentence? Find typical usage patterns (collocations)/phrases/context for "autosolitons" and check conjugation/comparative form for "autosolitons". Mastering all the usages of "autosolitons" from sentence examples published by news publications.
Another reason for the interest in reaction–diffusion systems is that although they are nonlinear partial differential equations, there are often possibilities for an analytical treatment.P. Grindrod, Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations, Clarendon Press (1991)J. Smoller, Shock Waves and Reaction Diffusion Equations, Springer (1994)B. S. Kerner and V. V. Osipov, Autosolitons.
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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.
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During this time, Boris Kerner together with V.V. Osipov developed a theory of Autosolitons - solitary intrinsic states, which form in a broad class of physical, chemical and biological dissipative systems. After emigration from Russia to Germany in 1992, Boris Kerner worked for the Daimler company in Stuttgart. His major interest since then was the understanding of vehicular traffic. The empirical nucleation nature of traffic breakdown at highway bottlenecks understood by Boris Kerner is the basis for Kerner's three phase traffic theory, which he introduced and developed in 1996–2002.
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Wooley, T. E., Baker, R. E., Maini, P. K., Chapter 34, Turing's theory of morphogenesis. In Reaction–diffusion processes form one class of explanation for the embryonic development of animal coats and skin pigmentation. Another reason for the interest in reaction-diffusion systems is that although they represent nonlinear partial differential equations, there are often possibilities for an analytical treatment.Grindrod, P. Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations, Clarendon Press (1991)Smoller, J. Shock Waves and Reaction Diffusion Equations, Springer (1994)Kerner, B. S. and Osipov, V. V. Autosolitons.
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Thus the term wide has nothing to do with the width across the jam, but actually refers to its length being considerably more than the transition zones at its head and tail. Historically, Kerner used the term wide from a qualitative analogy of a wide moving jam in traffic flow with wide autosolitons occurring in many systems of natural science (like gas plasma, electron-hole plasma in semiconductors, biological systems, and chemical reactions): Both the wide moving jam and a wide autosoliton exhibit some characteristic features, which do not depend on initial conditions at which these localized patterns have occurred.
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