Accession Number : ADA260736


Title :   Nonlinear Processes in Physics: Proceedings of the III Potsdam--V Kiev Workshop at Clarkson University, Potsdam, New York, August 1-11, 1991


Corporate Author : CLARKSON UNIV POTSDAM NY


Personal Author(s) : Fokas, A S ; Kaup, D J ; Newell, A C ; Zakharov, V E


Report Date : Aug 1991


Pagination or Media Count : 349


Abstract : The emphasis of the workshop was on the interaction between mathematical techniques and problems of physical interest. It was particularly successful in mixing plasma physicists, fluid physicists and soliton theorists. The lectures ranged from algebraic features of integrable systems and vortex dynamics to applications in plasma physics, ionospheric physics, nonlinear optics, oceanic studies and solid state. A connection between soliton theory and 2D quantum gravity was presented. The role of discrete Painleve equations was discussed. New results in the inverse spectral theory of evolution equations in two spatial dimensions were described. McKean described the spectral theory associated with bi-Hamiltonian structures in classical mechanics. Hamiltonian and symplectic structures for evolution equations in one and two spatial variables were reviewed. McLaughlin described algebraic-geometric aspects of the perturbation theory of certain soliton equations. Grunbaum discussed a novel inverse problem arising in low energy medical imaging (diffuse tomography) and Monk described analytical and numerical aspects of a certain inverse scattering problem. Important new results in vortex dynamics were presented. Langmuir turbulence and collapsing cavitons in the ionosphere were discussed. Nonlinear refraction of an rf wave in the ionosphere was presented as was nonlinear Alfven waves in space plasmas.


Descriptors :   *PLASMAS(PHYSICS) , *QUANTUM THEORY , *NONLINEAR OPTICS , *SOLID STATE PHYSICS , *VORTICES , *SOLITONS , *ATMOSPHERIC PHYSICS , *FLUID MECHANICS , IONOSPHERE , BUBBLES , NONLINEAR ANALYSIS , REFRACTION , NONLINEAR ALGEBRAIC EQUATIONS , OCEANOGRAPHY , HAMILTONIAN FUNCTIONS , WORKSHOPS , RADIOFREQUENCY , INVERSE SCATTERING , GRAVITY , WAVE PROPAGATION , TURBULENCE , SPECTRA , SYMPOSIA


Subject Categories : Atmospheric Physics
      Fluid Mechanics
      Optics
      Plasma Physics and Magnetohydrodynamics
      Quantum Theory and Relativity
      Solid State Physics
      Radiofrequency Wave Propagation


Distribution Statement : APPROVED FOR PUBLIC RELEASE