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

電子物理學系

研究成果: Review article › 同行評審

摘要

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.

原文	English
文章編號	1550115
期刊	Modern Physics Letters A
卷	30
發行號	24
DOIs	https://doi.org/10.1142/S0217732315501151
出版狀態	Published - 10 八月 2015

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10.1142/S0217732315501151

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

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