Solitary Waves Plasms Atmosph
, by Petviashvili,V.I.Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9782881247873 | 2881247873
- Cover: Hardcover
- Copyright: 1/1/1992
Preface | |
Introduction | |
Some results from the linear theory | p. 1 |
Leontovich's parabolic approximation | p. 1 |
Waves in uniform plasmas | p. 2 |
Dispersion relations modified to include the effect of plasma inhomogeneities | p. 8 |
Flute instability in the Earth's magnetosphere | p. 11 |
Rossby waves in the atmosphere | p. 21 |
Nonlinear equations of the acoustic type | p. 25 |
Model equations for acoustic waves in isotropic media | p. 25 |
1D and 2D soliton solutions to the Kadomtsev-Petviashvili equation and their stability | p. 28 |
Stability of 3D Kadomtsev-Petviashvili solitons. Collapse and self-focusing | p. 33 |
The stabilizing-multiplier method for soliton solutions | p. 37 |
Coupled soliton states (multisolitons) | p. 39 |
Model equation for acoustic waves in an anisotropic medium. 3D ion acoustic solitons in a magnetic field | p. 44 |
Nonlinear propagation of Alfven and magnetosonic waves along a magnetic field | p. 46 |
Propagation of magnetosonic waves at an angle to a magnetic field | p. 49 |
Nonlinear equations of the optical type | p. 53 |
Nonlinear Schrodinger equation | p. 53 |
Langmuir waves in an isotropic plasma. Zakharov's equation | p. 59 |
Equation for Langmuir waves in a magnetic field. Steady-state solutions and their stability | p. 62 |
Collapse and cavitons | p. 68 |
Multisoliton solutions of the nonlinear Schrodinger equation | p. 71 |
Diamagnetism of cyclotron plasma waves and cyclotron solitons | p. 75 |
Nonlinear variation of the magnetic field | p. 75 |
Model equation for long wavelength cyclotron oscillations | p. 78 |
Model equations for short wavelength cyclotron oscillations | p. 85 |
Self-focusing and three-dimensional localization of a cyclotron wave traveling along a magnetic field | p. 87 |
Diamagnetic self-focusing of electromagnetic cyclotron waves traveling across a magnetic field | p. 94 |
Effects of cyclotron solitons | p. 100 |
Solitary vortices in the atmospheres of rapidly rotating planets | p. 103 |
Structures in atmospheres and oceans | p. 103 |
Equations for shallow water | p. 104 |
Equations for a shallow atmosphere | p. 107 |
The geostrophic approximation | p. 108 |
Zonal flows and their stability | p. 110 |
Larichev-Reznik soliton solutions and vortex streets | p. 112 |
Dispersive spreading of perturbations in gyrotropic media | p. 119 |
Stability of soliton solutions to the Charney equation | p. 120 |
Anticyclones in a zonal flow | p. 124 |
Rossby solitons in the disk of the galaxy | p. 129 |
Laboratory modeling of Rossby solitons | p. 132 |
3D-solitons in a stratified atmosphere | p. 141 |
Thermal enhancement of atmospheric vortices | p. 147 |
Two-dimensional drift vortices in plasmas | p. 151 |
Drift and convection in plasmas | p. 151 |
Perturbations of the ion density and pressure in drift waves | p. 152 |
Potential drift vortices | p. 156 |
Kadomtsev-Pogutse equations and Alfven vortices | p. 159 |
Solitary Alfven vortices in an inhomogeneous, finite-pressure plasma | p. 163 |
Solitary Alfven vortices in an in homogeneous low-pressure plasma | p. 173 |
Condensation of Alfven waves into vortex tubes | p. 176 |
Observation of Alfven vortices in the magnetospheric plasma | p. 178 |
Dissipative generation of electron drift vortices | p. 181 |
Flute vortices | p. 184 |
Solitary ballooning vortices | p. 189 |
Vortex convection and anomalous resistivity in plasmas | p. 193 |
Solitary toroidal vortices | p. 197 |
Solitary steady-state vortices in ideal hydrodynamics | p. 197 |
Transient 2D solutions in Lagrange variables | p. 200 |
Solitary vortices in magnetohydrodynamic theory | p. 204 |
Model equation for electron hydrodynamics | p. 210 |
Toroidal electron vortices | p. 213 |
Topological solitons in media with constant magnetization | p. 216 |
Conservation of helicity and the Lyapunov stability of MHD structures | p. 221 |
Conservation of magnetic helicity | p. 221 |
Lyapunov stability of MHD structures | p. 223 |
Appendix 1: Summary of simplified (model) equations | p. 229 |
Appendix 2: Lyapunov stability of equilibrium solutions for evolving systems | p. 235 |
References | p. 239 |
Index | p. 247 |
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