Abstract:
The classical inverse scattering method is adapted to obtain weakly localized solutions
of the KdV equation for which the transmission coefficient of the scattering matrix
can vanish for a finite set of momenta.
Citation:
R. G. Novikov, G. M. Henkin, “Oscillating weakly localized solutions of the Korteweg–de Vries equation”, TMF, 61:2 (1984), 199–213; Theoret. and Math. Phys., 61:2 (1984), 1089–1099