A SOLITON HIERARCHY FROM THE LEVI SPECTRAL PROBLEM AND ITS TWO INTEGRABLE COUPLINGS, HAMILTONIAN STRUCTURE

被引：0

作者：

zhang, Yongqing ^{[1
]}

li, Yan ^{[1
]}

机构：

[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2009年 / 23卷 / 05期

关键词：

Soliton equation; Lie algebra; Hamiltonian structure; SEMIDIRECT SUMS; LIE-ALGEBRAS; TRANSFORMATIONS; EQUATIONS; IDENTITY;

D O I：

10.1142/S0217984909018953

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A soliton-equation hierarchy from the D. Levi spectral problem is obtained under the framework of zero curvature equation. By employing two various multi-component Lie algebras and the loop algebras, we enlarge the Levi spectral problem and the corresponding time-part isospectral problems so that two different integrable couplings are produced. Using the quadratic-form identity yields the Hamiltonian structure of one of the two integrable couplings.

引用

页码：731 / 739

页数：9

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