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Dissipative solitons with energy and matter flows: Fundamental building blocks for the world of living organisms
Authors:N Akhmediev  JM Soto-Crespo  HR Brand
Institution:1. Optical Sciences Group, Research School of Physics and Engineering, Institute of Advanced Studies, The Australian National University, Canberra ACT 0200, Australia;2. Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany;3. Instituto de Óptica, CSIC, Serrano 121, 28006 Madrid, Spain
Abstract:We consider a combined model of dissipative solitons that are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. The system is governed by the generic complex Ginzburg–Landau equation, which is coupled to a common reaction–diffusion (RD) system. Such a composite dynamical system may describe nerve pulses with a significant part of electromagnetic energy involved. We present examples of such composite dissipative solitons and analyse their internal balances between energy and matter generation and dissipation.
Keywords:Dissipative solitons  Nerve pulses  Living organisms
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