Nonlinear Evolution Equations and Dynamical Systems [electronic resource] : Proceedings of the Meeting Held at the University of Lecce June 20–23, 1979 / edited by M. Boiti, F. Pempinelli, G. Soliani.

Nonlinear evolution equations solvable by the spectral transform: Some recent results -- Quantization of completely integrable Hamiltonian systems -- Reduction technique for matrix nonlinear evolution equations -- Similarity solutions of the korteweg-de vries equation, Bäclund transformations and painlevè transcendents -- Coadjoint structures, solitions, and integrability -- Around the classical string problem -- The generalized Riemann-Hilbert problem and the spectral interpretation -- The inverse scattering problem and applications to arithmetics, approximation theory and transcendental numbers -- The soliton theory of strong langmuir turbulence -- Geometry of bäcklund transformations -- Existence of solutions and scattering theory for the non linear schrödinger equation -- A geometrical approach to the nonlinear solvable equations -- Properties of a special function related to self-similar solutions of certain nonlinear wave equations -- Vortex motions and conformal mappings -- Analytical solutions of the sine-gordon equation and their application to josephson tunnel junctions -- Geometry of the akns — ZS inverse scattering scheme -- Fundamental equations of classical and of quantum physics as special cases of a nonlinear equation -- Noether's theorem and infinities of polynomial conserved densities.