Nonlinear Science at the Dawn of the 21st Century

E.A. Kuznetsov, V.E. Zakharov (auth.), P. L. Christiansen, M. P. Sørensen, A. C. Scott (eds.)3540669183, 9783540669180

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.

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Table of contents :
Nonlinear Coherent Phenomena in Continuous Media….Pages 3-45
Perturbation Theories for Nonlinear Waves….Pages 47-65
Josephson Devices….Pages 69-86
Josephson Flux-Flow Oscillators in Microwave Fields….Pages 87-101
Coupled Structures of Long Josephson Junctions….Pages 103-119
Stacked Josephson Junctions….Pages 121-136
Dynamics of Vortices in Two-Dimensional Magnets….Pages 137-170
Spatial Optical Solitons….Pages 173-194
Nonlinear Fiber Optics….Pages 195-211
Self-Focusing and Collapse of Light Beams in Nonlinear Dispersive Media….Pages 213-228
Coherent Structures in Dissipative Nonlinear Optical Systems….Pages 229-246
Solitons in Optical Media with Quadratic Nonlinearity….Pages 247-262
Nonlinear Models for the Dynamics of Topological Defects in Solids….Pages 265-291
2-D Breathers and Applications….Pages 293-305
Scale Competition in Nonlinear Schrödinger Models….Pages 307-321
Demonstration Systems for Kink-Solitons….Pages 323-337
Quantum Lattice Solitons….Pages 339-355
Noise in Molecular Systems….Pages 357-370
Nonlinear Dynamics of DNA….Pages 373-391
From the FPU Chain to Biomolecular Dynamics….Pages 393-407
Mutual Dynamics of Swimming Microorganisms and Their Fluid Habitat….Pages 409-426
Nonlinearities in Biology: The Brain as an Example….Pages 427-445