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This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines. The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers. The similarities and differences in the notion of a soliton between dissipative systems and Hamiltonian and integrable systems are discussed, and many examples are given. The contributions are written by the world's leading experts in the field, making it a unique exposition of this emerging topic.
List of contents
Introduction.- Dissipative Solitons of the Swift-Hohenberg Equation.- Dissipative Magneto-Optic Solitons.- Dissipative Solitons in Semiconductor Optical Amplifiers.- Dissipative Solitons in Pattern-Forming Nonlinear Optical Systems: Cavity Solitons and Feedback Solitons.- Solitons in Laser Schemes with Saturable Absorption.- Spatial Resonator Solitons.- Dissipative Temporal Solitons.- Soliton Dynamics in Modelocked Lasers.- Temporal Multi-Soliton Complexes Generated by Passively Modelocked Lasers.- Dissipative Solitons in Reaction-Diffusion Systems.- Discrete Ginzburg-Landau Solitons.- Discrete Dissipative Solitons.- Nonlinear Schroedinger Equation with Dissipation: Two Models for Bose-Einstein Condensates.- Solitary Waves of Nonlinear Equations.- Stability Analysis of Pulses via the Evans Function: Dissipative Systems.- Bifurcations and Strongly Amplitude-Modulated Pulses of the Complex Ginzburg-Landau Equation.
Summary
This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines. The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers. The similarities and differences in the notion of a soliton between dissipative systems and Hamiltonian and integrable systems are discussed, and many examples are given. The contributions are written by the world's leading experts in the field, making it a unique exposition of this emerging topic.
Additional text
From the reviews:
"This edited volume contains seventeen chapters contributed by thirty four authors, indisputably acknowledged and internationally recognized experts in the rapidly expanding field of dissipative solitons. … Each chapter is extremely well referenced and the chosen topics … does provide an excellent overview and forms a comprehensive introduction to this subject in this research level text. It provides an excellent reference for anyone wishing to look further into this fascinating aspect of soliton behaviour." (J. R. Taylor, Contemporary Physics, Vol. 47 (1), 2006)
Report
From the reviews:
"This edited volume contains seventeen chapters contributed by thirty four authors, indisputably acknowledged and internationally recognized experts in the rapidly expanding field of dissipative solitons. ... Each chapter is extremely well referenced and the chosen topics ... does provide an excellent overview and forms a comprehensive introduction to this subject in this research level text. It provides an excellent reference for anyone wishing to look further into this fascinating aspect of soliton behaviour." (J. R. Taylor, Contemporary Physics, Vol. 47 (1), 2006)
