Abstract:
An existence and uniqueness theorem is proved for the solution of
the Cauchy problem for the nonlinear Schrödinger equation with
repulsion in the class of functions with singularities of the type
x−1. The behavior of the singularity lines of the solution in
the (x,t) plane is described.
Citation:
V. A. Arkad'ev, “Application of inverse scattering method to singular solutions of nonlinear equations. III”, TMF, 58:1 (1984), 38–49; Theoret. and Math. Phys., 58:1 (1984), 24–32