On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Classψxxx+ 6Qψx+ 6Rψ= λψ

摘要

The inverse scattering problem for cubic eigenvalue equations of the formψxxx+ 6Qψx+ 6Rψ= λψis outlined and formally solved. Many properties of the scattering data are obtained, the continuous spectrum is briefly discussed, special one soliton solutions are obtained, and the infinity of conserved quantities are determined in terms of the scattering