From the contents Introduction: Three Sources and Three Component Parts of the Concept of Dissipative Solitons.- Solitons in Viscous Flows.- Cavity Solitons in Semiconductor Devices.- Compounds of Fiber-Optic Solitons.- Three-Wave Dissapative Brillouin Solitons.- Discrete Breathers with Dissipation.- Collective Focussing and Modulational Instability of Light and Cold Atoms.- On Vegetation Clustering, Localized Bare Soil Spots and Fairy Circles.- Propagation of Travelling Pulses in Cortical Networks.- Wave Phenomena in Neuronal Networks.- Spiral Waves and Dissapative Solitons in Weakly Excitable Media.
(source: Nielsen Book Data)
The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and, Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples from optics, biology and medicine. These include laser systems, optical transmission lines, cortical networks, models of muscle contraction, localized vegetation structures and waves in brain tissues. (source: Nielsen Book Data)