A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings

Ye Peng Sun; Hon Wah Tam

doi:10.1016/j.physleta.2007.05.032

A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings

Ye Peng Sun^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

15 Citations (Scopus)

Abstract

A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schrödinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.

Original language	English
Pages (from-to)	139-144
Number of pages	6
Journal	Physics Letters A
Volume	370
Issue number	2
DOIs	https://doi.org/10.1016/j.physleta.2007.05.032
Publication status	Published - 15 Oct 2007

User-Defined Keywords

Integrable couplings
Matrix spectral problem
Multi-component AKNS equations
Non-isospectral soliton hierarchy

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10.1016/j.physleta.2007.05.032

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title = "A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings",

abstract = "A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schr{\"o}dinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.",

keywords = "Integrable couplings, Matrix spectral problem, Multi-component AKNS equations, Non-isospectral soliton hierarchy",

author = "Sun, \{Ye Peng\} and Tam, \{Hon Wah\}",

note = "Funding Information: The first author is very grateful to Professor Xing-Biao Hu and Professor Deng-Yuan Chen for their ardent guidance and help. This work was supported by China Postdoctoral Science Foundation, the National Natural Science Foundation of China (Grant No. 10471139) and Hong Kong RGC Grant No. HKBU2016/03P. ",

year = "2007",

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doi = "10.1016/j.physleta.2007.05.032",

language = "English",

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journal = "Physics Letters A",

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T1 - A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings

AU - Sun, Ye Peng

AU - Tam, Hon Wah

N1 - Funding Information: The first author is very grateful to Professor Xing-Biao Hu and Professor Deng-Yuan Chen for their ardent guidance and help. This work was supported by China Postdoctoral Science Foundation, the National Natural Science Foundation of China (Grant No. 10471139) and Hong Kong RGC Grant No. HKBU2016/03P.

PY - 2007/10/15

Y1 - 2007/10/15

N2 - A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schrödinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.

AB - A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schrödinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.

KW - Integrable couplings

KW - Matrix spectral problem

KW - Multi-component AKNS equations

KW - Non-isospectral soliton hierarchy

UR - https://www.scopus.com/pages/publications/34848845224

U2 - 10.1016/j.physleta.2007.05.032

DO - 10.1016/j.physleta.2007.05.032

M3 - Journal article

AN - SCOPUS:34848845224

SN - 0375-9601

VL - 370

SP - 139

EP - 144

JO - Physics Letters A

JF - Physics Letters A

IS - 2

ER -

A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings

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