Multi-indexed Extensions of Soliton Potential and Extended Integer Solitons of KdV Equation
Quantum Physics
2014-10-02 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1401.1150,
title = {Multi-indexed Extensions of Soliton Potential and Extended Integer Solitons of KdV Equation},
author = {Choon-Lin Ho and Jen-Chi Lee},
journal= {arXiv preprint arXiv:1401.1150},
year = {2014}
}
Comments
12 pages, no figure