Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem
Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem
In an earlier paper nonlinear evolution equations associated with a Riemann–Hilbert scattering problem, which reduces, in an appropriate limit, to the Zakharov–Shabat–AKNS scattering problem, were considered. Here we discuss certain necessary constraints associated with the scattering problem and their impact upon the associated evolution equations. Moreover, the direct linearization of …