Soliton Phenomenology

Front Matter....Pages i-xi
Introduction....Pages 1-11
Some Physical Models and Nonlinear Differential Equations....Pages 13-54
Physically Interesting Nonlinear Differential Equations....Pages 55-80
Front Matter....Pages 81-85
The Nonlinear Schrödinger Equation and the Landau-Lifshitz Equation....Pages 87-111
The Nonlinear Schrödinger Equation with U ( p , q ) Internal Symmetry and the Sine-Gordon Equation....Pages 113-147
Dynamical Symmetry and Generalized Coherent States....Pages 149-181
Bose Gas, Integrable Nonlinear Schrödinger Equations and Landaulifshitz Models....Pages 183-209
φ 6 Theory and Bose Drops....Pages 211-221
Back Matter....Pages 221-225
The Class of Soliton Solutions to the Vector Version of the Nonlinear Schrödinger Equation With Self-Consistent Potentials....Pages 227-253
The Existence of Soliton-Like Solutions....Pages 255-266
Soliton Stability....Pages 267-287
Dynamics of the Formation and Interaction of Plane Solitons....Pages 289-322
Structural Stability and Pinning of Solitons....Pages 323-344
Dynamical Structure Factors of Soliton Gas....Pages 345-389
Existence and Stability....Pages 391-412
Pulsons and Q -Solitons....Pages 413-427
Interaction of Q -Solitons....Pages 429-445
Back Matter....Pages 445-448
Back Matter....Pages 449-452