Dissipative Solitons From Optics to Biology and Medicine

Name: Dissipative Solitons From Optics to Biology and Medicine
Availability: OutOfStock
ISBN: 9783540782162

ISBN-10: 3540782168

ISBN-13: 9783540782162

Edition: 2008

Authors: Nail Akhmediev, Adrian Ankiewicz

List price: $109.99

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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. This book explains the above principles in detail and gives the reader various examples from optics, biology and medicine.

Book details

List price: $109.99
Copyright year: 2008
Publisher: Springer Berlin / Heidelberg
Publication date: 8/26/2008
Binding: Hardcover
Pages: 479
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 2.156
Language: English

Kuon INOUE; PhD (The University of Tokyo):1961 graduation from The University of Tokyo, Department of Applied Physics, 1966 finishing the Graduate School (Doctor Course) of Engineering, The University of Tokyo1966-1967 Post Doctoral Fellow of JSPS, at Institute of Solid State Physics1967-1970 Assistant Professor, Department of Physics, Shizuoka University 1970-1984 Associate professor, Depertement of Physics, Shizuoka University1984-2001 Professor, Institute for Electronic Science, Hokkaido university2001- present Guest Professor of Chitose Institute of Science and Technology, Emeritus Professor of Hokkaido UniversityKazuo OHTAKA; PhD (The University of Tokyo):1964 graduation from The…



Three Sources and Three Component Parts of the Concept of Dissipative Solitons




Introduction



Cubic-Quintic Complex Ginzburg-Landau Equation



The Method of Moments



Pulsating Solitons and Their Approximations [37, 38]



Creeping Solitons [32, 43]



Solitons and Antisolitons [28]



Conclusions


References


Solitons in Viscous Flows




Introduction



Basic Models



Marangoni Waves



Waves in Flowing Films



Conclusions


References


Cavity Solitons in Semiconductor Devices




Introduction



Cavity Solitons: Properties and Applicative Features



Cavity Solitons in Driven VCSELs



VCSELs with Saturable Absorber: The Cavity Soliton Laser



Conclusions and Perspectives


References


Dissipative Solitons in Laser Systems with Non-local and Non-instantaneous Nonlinearity




Introduction



The Model and Initial Equations



Transversely Homogeneous Lasing



Single Motionless Dissipative Solitons and Their Complexes



Bifurcation from Motionless to Slowly Moving Structures



Slowly Moving Dissipative Solitons



Flying and Non-stationary Dissipative Solitons



Conclusions


References


Excitability Mediated by Dissipative Solitons in Nonlinear Optical Cavities




Introduction



Model



Dissipative Solitons for Homogeneous Pump



Azimuthal Instabilities



Oscillatory KCSs



Saddle-Loop Bifurcation



Quantitative Phase Space Projection



Excitable Behavior



Takens-Bogdanov Point



Effect of an Addressing Gaussian Beam



Concluding Remarks


References


Temporal Soliton "Molecules" in Mode-Locked Lasers: Collisions, Pulsations, and Vibrations




Introduction



Collisions Between Dissipative Solitons Inside a Laser Cavity



Pulsations of Dissipative Solitons



Vibrations of a Soliton Pair



Conclusion and Prospects


References


Compounds of Fiber-Optic Solitons




Introduction



General



Soliton Ensembles in a Feedback System



Soliton Molecules: Bound States in Dispersion-Managed Fiber



Bound States of Dark Solitons in Dispersion-Managed Fiber



Discussion and Conclusion


References


Dissipative Nonlinear Structures in Fiber Optics




Introduction



Dissipative Solitons in High-Speed Fiber Communication Systems



Self-Similar Parabolic Pulses in Active Fibers



Application of Parabolic Pulses to Optical Signal Processing



Conclusion


References


Three-Wave Dissipative Brillouin Solitons




Introduction



SBS Kerr Model Equations



Three-Wave Dissipative Model



Asymptotic Three-Wave Dynamics in the Ring Cavity



Backward-Traveling Three-Wave Solutions



Dissipative Symmetric Three-Wave Solution



Asymmetric Three-Wave Dissipative Solitons



Stability Criterion: Asymptotic Procedure



Brillouin Fiber-Ring Laser Pulses



Systematic Experimental and Numerical Exploration of the Whole Soliton Localization Domain



Conclusion


References


Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators




Introduction



Convective Versus Absolute Instabilities in OPOs



Degenerate Optical Parametric Oscillators



Walk-Off Nonlinear Effects in Parametric Optical Oscillators



Concluding Remarks


References


Discrete Breathers with Dissipation




Introduction



Basic Properties of Discrete Breathers



Applications



Summary


References


Anharmonic Oscillations, Dissipative Solitons and Non-Ohmic Supersonic Electric Transport




Introduction



Solitons and Cnoidal Waves in a Toda Lattice



Self-Organization with an Input-Output Energy Balance



Electromechanical Toda Lattice



From Ohm's Law to a Soliton-Mediated Supersonic Current



Final Remarks


References


Coherent Optical Pulse Dynamics in Nano-composite Plasmonic Bragg Gratings




Introduction



Basic Equations



Solitary Wave Solutions



Energy Partition



Numerical Simulation



Conclusion


References


Collective Focusing and Modulational Instability of Light and Cold Atoms




Introduction



Dynamical Equations



Coupled Optical and Atomic Solitons



Two-Beam Coupling and Atomic Density Perturbations



Modulational Instability



Modulational Instability with Density Changes



Experimental Observations



Conclusion


References


On Vegetation Clustering, Localized Bare Soil Spots and Fairy Circles




Introduction



Mean-Field Model of Vegetation Evolution



Weak-Gradient Approximation



Clustering and Periodic Vegetation Patterns



Pinning and Localized Bare Soil Spots



Attractive/Repulsive Interactions Between Bare spots



Conclusions


References


Propagation of Traveling Pulses in Cortical Networks




Introduction



Propagating Pulses in Networks of Excitatory Neurons



Propagating Pulses in Networks of Excitatory and Inhibitory Neurons



Discussion


References


Wave Phenomena in Neuronal Networks




Introduction



Traveling Waves



Wave Fronts



Solitary Traveling Waves



Multi-bump Waves



Two Dimensions



Conclusions


References


Spiral Waves and Dissipative Solitons in Weakly Excitable Media




Introduction



Excitable Medium Model



Free Boundary Problem for Stabilized Wave Segments



Wave Spots Rotating Along a Disk Boundary



Spiral Waves Rotating Around a Disk Center



Spiral Waves in an Unbounded Medium



Discussion


References


Index