Abstract

The results on two-dimensional inverse scattering problem for the two component hyperbolic Dirac system of equations are formulated. The complete description of the scattering data is given and the algorithm of reconstructing the coefficients of equations from scattering data is formulated. The results have been applied to integration of the non-linear Schrödinger equation in two spatial dimensions by the inverse scattering method: the Cauchy problem is investigated, the exact soliton-like solutions are represented.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call