INVERSE SCATTERING METHOD FOR THE 2-DIMENSIONAL MASSIVE THIRRING MODEL

Classical solutions of the two-dimensional massive Thirring model with laboratory co-ordinates are obtained exactly by the inverse scattering method. The Gel'fand-Levitan integral equations appearing with tedious nonlinearities are treated systematically for the case of discrete spectrums and the N-soliton solution is obtained with closed forms. The two-soliton solution is detailed and the collision between solitons is made clear. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.