Abstract:
The Jost solutions and the transition matrix for the Zakharov–Shabat system are
constructed in the case of potentials that have a finite number of x−1 singularities. The analytic properties of the transition matrix are investigated and scattering data are introduced.
Citation:
V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Application of inverse scattering method to singular solutions of nonlinear equations. I”, TMF, 53:2 (1982), 163–180; Theoret. and Math. Phys., 53:2 (1982), 1051–1062