Multi-indexed Extensions of Soliton Potential and Extended Integer   Solitons of KdV Equation
  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. 
Choon-Lin Ho and Jen-Chi Lee
quant-ph hep-th math-ph math.MP nlin.SI