Lecture Notes in Physics

By: N. Akhmediev, Nail Akhmediev (Editor), Adrian Ankiewicz (Editor)

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Hardcover | 25 April 2005

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472 Pages

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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.

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"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)

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Dissipative solitons in the complex Ginzburg-Landau and Swift-Hohenberg equations	p. 1
Dissipative Magneto-Optic solitons	p. 19
Dissipative solitons in semiconductor optical amplifiers	p. 37
Dissipative solitons in pattern-forming nonlinear optical systems : cavity solitons and feedback solitons	p. 55
Solitons in laser systems with saturable absorption	p. 101
Spatial resonator solitons	p. 131
Dynamics of dissipative temporal solitons	p. 161
Soliton dynamics in mode-locked lasers	p. 183
Temporal multi-soliton complexes generated by passively mode-locked lasers	p. 207
Mode-locking of fiber lasers via nonlinear mode-coupling	p. 241
Dissipative solitons in reaction-diffusion systems	p. 267
Discrete Ginzburg-Landau solitons	p. 309
Discrete dissipative solitons	p. 327
Nonlinear Schrodinger equation with dissipation : two models for Bose-Einstein condensates	p. 343
Solitary waves of nonlinear nonintegrable equations	p. 373
Stability analysis of pulses via the Evans function : dissipative systems	p. 407
Bifurcations and strongly amplitude-modulated pulses of the complex Ginzburg-Landau equation	p. 429
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Physics

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Hardcover

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