2 papers
math.SP2011
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
Jason Baggett, Odile Bastille, Alexei Rybkin
We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transf…
math-ph2011
On the determinant formula in the inverse scattering procedure with a partially known steplike potential
Odile Bastille, Alexei Rybkin
We are concerned with the inverse scattering problem for the full line Schrödinger operator with a steplike potential a priori known on $\Reals_+=(0,\infty…