Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order

Yaning Tang; Wen Xiu Ma; Wei Xu; Liang Gao

doi:10.1016/j.cnsns.2011.06.010

Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order

Yaning Tang
, Wen Xiu Ma
, Wei Xu
, Liang Gao

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
University of South Florida
Science Research Institute of China-North Group Company

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We presented an integrable coupling hierarchy of a matrix spectral problem with arbitrary order zero matrix r by using semi-direct sums of matrix Lie algebra. The Hamiltonian structure of the resulting integrable couplings hierarchy is established by means of the component trace identities. As an example, when r is 2 × 2 zero matrix specially, the integrable coupling hierarchy and its Hamiltonian structure of the matrix spectral problem are computed.

Original language	English
Pages (from-to)	585-592
Number of pages	8
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/j.cnsns.2011.06.010
State	Published - Feb 2012

Keywords

Component trace identities
Hamiltonian structure
Integrable coupling hierarchy
Matrix spectral problem

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10.1016/j.cnsns.2011.06.010

Cite this

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abstract = "We presented an integrable coupling hierarchy of a matrix spectral problem with arbitrary order zero matrix r by using semi-direct sums of matrix Lie algebra. The Hamiltonian structure of the resulting integrable couplings hierarchy is established by means of the component trace identities. As an example, when r is 2 × 2 zero matrix specially, the integrable coupling hierarchy and its Hamiltonian structure of the matrix spectral problem are computed.",

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AU - Xu, Wei

AU - Gao, Liang

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AB - We presented an integrable coupling hierarchy of a matrix spectral problem with arbitrary order zero matrix r by using semi-direct sums of matrix Lie algebra. The Hamiltonian structure of the resulting integrable couplings hierarchy is established by means of the component trace identities. As an example, when r is 2 × 2 zero matrix specially, the integrable coupling hierarchy and its Hamiltonian structure of the matrix spectral problem are computed.

KW - Component trace identities

KW - Hamiltonian structure

KW - Integrable coupling hierarchy

KW - Matrix spectral problem

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

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ER -

Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order

Abstract

Keywords

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