Multi-indexed extensions of soliton potential and extended integer solitons of KdV equation

Choon Lin Ho, Jen-Chi Lee

Research output: Contribution to journalReview articlepeer-review

Abstract

We calculate infinite set of initial profiles of higher integer Korteweg-de Vries (KdV) solitons, which are both exactly solvable for the Schrödinger equation and for the Gel'fand-Levitan-Marchenko (GLM) equation in the inverse scattering transform (IST) 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.

Original languageEnglish
Article number1550115
JournalModern Physics Letters A
Volume30
Issue number24
DOIs
StatePublished - 10 Aug 2015

Keywords

  • Darboux transformation
  • KdV equation
  • Multi-indexed extensions of soliton potential

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