Scattering Amplitudes for Multi-indexed Extensions of Soliton Potential and Extended KdV Integer Solitons

Abstract

We calculate quantum mechanical scattering problems for multi-indexed extensions of soliton potential by Darboux transformations in terms of pseudo virtual wavefunctions. As an application, we calculate infinite set of higher integer KdV solitons by the inverse scattering transform method of KdV equation.

12 pages, no figure. work presented at ISQS-22 at Prague, Czech 2014, and XOP conference at Segovia, Spain 2014. v2 refs [5],[6] added

References in corpus (2)

• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials