Multi-indexed Extensions of Soliton Potential and Extended Integer Solitons of KdV Equation

Abstract

We calculate infinite set of initial profiles of higher integer KdV solitons, which are both exactly solvable for the Schrodinger equation and for the Gel'fand-Levitan-Marchenko equation in the inverse scattering transform method of KdV equation. The calculation of these higher integer soliton solutions is based on the recently developed multi-indexed extensions of the reflectionless soliton potential.

12 pages, no figure

References in corpus (1)

• Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials

Cited by in corpus (1)

• Exactly solvable potentials with finitely many discrete eigenvalues of arbitrary choice