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

Choon Lin Ho; Jen-Chi Lee

doi:10.1142/S0217732315501151

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

Choon Lin Ho, Jen-Chi Lee

Department of Electrophysics

Research output: Contribution to journal › Review article › peer-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 language	English
Article number	1550115
Journal	Modern Physics Letters A
Volume	30
Issue number	24
DOIs	https://doi.org/10.1142/S0217732315501151
State	Published - 10 Aug 2015

Keywords

Darboux transformation
KdV equation
Multi-indexed extensions of soliton potential

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abstract = "We calculate infinite set of initial profiles of higher integer Korteweg-de Vries (KdV) solitons, which are both exactly solvable for the Schr{\"o}dinger 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.",

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author = "Ho, {Choon Lin} and Jen-Chi Lee",

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AU - Lee, Jen-Chi

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N2 - 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.

AB - 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.

KW - Darboux transformation

KW - KdV equation

KW - Multi-indexed extensions of soliton potential

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DO - 10.1142/S0217732315501151

M3 - Review article

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JO - Modern Physics Letters A

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

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Keywords

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