It is shown that the nonlinear Schrodinger equation with a source can be investigated by the inverse scattering method for the Dirac operator if the source is represented as the Fourier integral over the eigenfunctions of the so-called generating operator. The obtained results are relevant to some problems of plasma physics and solid state physics.
No takes yet. Share an insight, caveat, or question.
V. K. Mel’nikov (1992) studied this question.