Author(s): R. K. Bullough, R. K. Dodd (auth.), Alan R. Bishop B.Sc. Ph.D., Dr. Toni Schneider (eds.)
Series: Springer Series in Solid-State Sciences 8
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1978
Language: English
Pages: 344
Tags: Mathematical Methods in Physics;Numerical and Computational Physics
Front Matter....Pages I-XI
Front Matter....Pages 1-1
Solitons in Mathematics: Brief History....Pages 2-21
Solitons in Physics....Pages 22-26
Front Matter....Pages 27-27
Numerical Studies of Solitons....Pages 28-43
Poles of the Toda Lattice....Pages 44-47
Perturbation Theory of the Double Sine-Gordon Equation....Pages 48-51
Soliton Perturbations and Nonlinear Focussing....Pages 52-67
Novel Class of Nonlinear Evolution Equations Solvable by the Spectral Transform Technique, Including the So-Called Cylindrical KdV Equation....Pages 68-70
The Complex Modified Korteweg-de Vries Equation, a Non-Integrable Evolution Equation....Pages 71-75
Front Matter....Pages 77-77
Soliton-Bound States in the Magnetic Gap....Pages 78-84
Statistical Mechanics of Nonlinear Dispersive Systems....Pages 85-103
Some Applications of Instantons in Statistical Mechanics....Pages 104-115
The Theory of Structural Phase Transitions: Cluster Walls and Phonons....Pages 116-134
Nonlinear Lattice Dynamics: Molecular Dynamics Studies....Pages 135-149
Computer Simulation of Structural Phase Transitions....Pages 150-153
Soliton-Like Features in a Two-Dimensional XY Model with Quartic Anisotropy....Pages 154-157
Behavior of a ⌽ 4 -Kink in the Presence of an Inhomogeneous Perturbation....Pages 158-161
Solitary Wave Solutions in a Diatomic Lattice....Pages 162-165
Lattice Models of High Velocity Dislocation Motion....Pages 166-182
Grain Boundaries as Solitary Waves....Pages 183-186
The Relation of Solitons to Polaritons in Coupled Systems....Pages 187-190
Front Matter....Pages 77-77
Solitons in CsNiF 3 : Their Experimental Evidence and Their Thermodynamics....Pages 191-194
Structure and Stability of Domain Walls — Phase Transition....Pages 195-198
Periodic Lattice Distortions and Charge Density Waves in One- and Two-Dimensional Systems....Pages 199-215
Solitons in Incommensurate Systems....Pages 216-233
Fluctuations and Freezing in a One-Dimensional Liquid: Hg 3−δ AsF 6 ....Pages 234-245
Charge Density Wave Systems: The ⌽ -Particle Model....Pages 246-253
The Soliton Lattice: Application to the ω Phase....Pages 254-263
The New Concept of Transitions by Breaking of Analyticity in a Crystallographic Model....Pages 264-277
Textures in Superfluid 3 He....Pages 278-290
Creation of Spin Waves in 3 HeB....Pages 291-296
The Interaction of Spin Waves in Liquid He 3 in Several Dimensions....Pages 297-300
Josephson Transmission Line Oscillators....Pages 301-312
Dissipative Structures in Quasi-One-Dimensional Superconductors....Pages 313-316
Solitary Phenomena in Finite Dissipative Discrete Systems....Pages 317-320
Stability of Nonuniform States in Systems Exhibiting Continuous Bifurcation....Pages 321-325
The Sine-Gordon Chain: Mass Diffusion....Pages 326-329
Solitary Wave Propagation as a Model for Poling in PVF 2 ....Pages 330-333
Theory of One-Dimensional Ionic and Solitary Wave Conduction in Potassium Hollandite....Pages 334-335
Front Matter....Pages 337-337
Summary: Where Do Solitons Go from Here?....Pages 338-340
Back Matter....Pages 341-341