Advances in Soliton ResearchSince their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: the long lived 'giant red spot' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the expected equipartition of energy among available modes - ion-acoustic waves in a plasma, energy storage and transfer in proteins via the Davydov soliton, and the propagation of short laser pulses in optical fibres over long distances with negligible shape change. This new volume presents important research from around the globe. |
Contents
1 | |
Soliton SelfModulation of the Turbulence Amplitude and Plasma Rotation | 45 |
Quantum Dark Soliton in BoseEinstein Condensate | 105 |
Solitons on Nanotubes and Fullerenes as Solutions of a Modified Nonlinear Schrödinger Equation | 135 |
Common terms and phrases
AdS5 appear approximation atoms average baryon becomes Bogoliubov branes calculated cascade charge circle classified coefficient complex condensate condition configuration connected consider constant construction corresponding coupling cycle D4-branes dark soliton define density density measurement dependence depletion derivative described determined direction effect eigenvalues equation example exist expect experiment fact field Figure flux gauge gauge group gauge theory given gives initial integral K-theory leads limit linear matrix means mode non-linear notch Notice NS5-branes obtain operator original parameters periodic perturbations Phys physical plane poloidal positive possible potential problem pulsation radial reduced respect Riemann rotation sin² single particle solutions solve space spectrum stability step string string solitons surface theory units vacuum values wave function wrap zero