Non-isospectral integrable couplings of  Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources

doi:10.1088/1674-1056/17/11/006

中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3965-3973.doi: 10.1088/1674-1056/17/11/006

Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources

于发军, 李丽

College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China

收稿日期:2008-03-31 修回日期:2008-05-29 出版日期:2008-11-20 发布日期:2008-11-20
基金资助:
Project supported by the Research work of Liaoning Provincial Development of Education, China (Grant No 2008670).

Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources

Yu Fa-Jun (于发军), Li Li (李丽)

College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China

Received:2008-03-31 Revised:2008-05-29 Online:2008-11-20 Published:2008-11-20
Supported by:
Project supported by the Research work of Liaoning Provincial Development of Education, China (Grant No 2008670).

摘要/Abstract

摘要： A hierarchy of non-isospectral Ablowitz--Kaup--Newell--Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear Schr\"{o}dinger equations (NLSE) with self-consistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.

Abstract: A hierarchy of non-isospectral Ablowitz--Kaup--Newell--Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear Schr\"{o}dinger equations (NLSE) with self-consistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.

Key words: equations hierarchy, self-consistent sources, integrable couplings

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)

于发军, 李丽. Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources[J]. 中国物理B, 2008, 17(11): 3965-3973.

Yu Fa-Jun (于发军), Li Li (李丽). Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources[J]. Chin. Phys. B, 2008, 17(11): 3965-3973.

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Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources

Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources

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