Proceedings of a Conference on Inverse Scattering on the Line, held June 713, 1990 at the University of Massachusetts, Amherst, with support from the National Science Foundation, the National Security Agency, and the Office of Naval Research.

Includes bibliographical references.

WienerHopf factorization in multidimensional inverse Schrodinger scattering ; Complete integrability of "completely integrable" systems ; On the determinant theme for tau functions, Grassmannians, and inverse scattering ; An overview of inversion algorithms for impedance imaging ; On the construction of integrable XZ Heisenberg models with arbitrary spin ; A geometric construction of solutions of matrix hierarchies ; Lax pairs, recursion operators and the perturbation of nonlinear evolution equations ; Time and temperature dependent correlation function of impenetrable Bose gas field correlator in the impenetrable Bose gas ; Breathers and the sineGordon equation ; Localized solitons for the Ishimori equation ; Tau functions ; Inverse problems in anisotropic media ; The Toda shock problem Tuncay Aktosun and Cornelis van der Mee ; Richard Beals and David Sattinger ; Robert Carroll ; Margaret Cheney and David Isaacson ; Holger Frahm ; G F Helminck ; Russell Herman ; A R It\cydots A G Izergin and V E Korepin ; Satyanad Kichenassamy ; B G Konopelchenko and V G Dubrovsky ; John Palmer ; John Sylvester and Gunther Uhlmann ; Stephanos Venakides