New Developments in Soliton Research
Nova Publishers, 2006 - 187 páginas
Since 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. It covers: 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 volume presents important research from around the globe.
Solitons and Topological Solutions on a Fuzzy Sphere
Nonlinear Dynamics of Selfguiding Electromagnetic Beams in Relativistic Electronpositron Plasmas
DifferentialDifference Equations and their Depinning Transitions
action algebra angular ansatz axially barrier baryon basis beam becomes bifurcation chiral fields classical complex computation configuration connection consider constant constraints construction corresponding coupling critical defined density dependent derivative difference dimpled discrete dynamics effective eigenvalues energy equations of motion experimental Falaco Solitons fields Figure force function fuzzy sphere gauge Gauss curvature given Hamiltonian Hopf initial invariant Lagrangian leads Lett limit mass matrix model method minimal surface momentum monopoles noncommutative nonlinear observed obtained operator pair parameters Phys physical plasma positive possible potential present problem projectors properties quark region respectively result rotation scaling shown similarity skyrmions solutions space spectra spinors stability static string structure surface symmetry theory topological dimension transformation travelling valence vector wave zero mean curvature