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Volume 20, Issue 4
The Hamiltonian Structure of Two Integrable Expanding Models

Bin Liu , Huanhe Dong & Zhu Li

J. Part. Diff. Eq., 20 (2007), pp. 337-348.

Published online: 2007-11

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  • Abstract
In this paper, an extended loop algebra is constructed from which an isospectral problem established. It follows that the integrable couplings of the Tu hierarchy and M-AKNS-KN hierarchy are obtained, and their Hamilton structures are presented by the quadratic-form identity. Moreover, we guarantee that the expanding model we obtained are also Liouville integrable.
  • Keywords

Integrable coupling Hamiltonian structure quadratic-form identity

  • AMS Subject Headings

35Q51.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-20-337, author = {Bin Liu , Huanhe Dong and Zhu Li }, title = {The Hamiltonian Structure of Two Integrable Expanding Models}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {4}, pages = {337--348}, abstract = { In this paper, an extended loop algebra is constructed from which an isospectral problem established. It follows that the integrable couplings of the Tu hierarchy and M-AKNS-KN hierarchy are obtained, and their Hamilton structures are presented by the quadratic-form identity. Moreover, we guarantee that the expanding model we obtained are also Liouville integrable.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5313.html} }
TY - JOUR T1 - The Hamiltonian Structure of Two Integrable Expanding Models AU - Bin Liu , Huanhe Dong & Zhu Li JO - Journal of Partial Differential Equations VL - 4 SP - 337 EP - 348 PY - 2007 DA - 2007/11 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5313.html KW - Integrable coupling KW - Hamiltonian structure KW - quadratic-form identity AB - In this paper, an extended loop algebra is constructed from which an isospectral problem established. It follows that the integrable couplings of the Tu hierarchy and M-AKNS-KN hierarchy are obtained, and their Hamilton structures are presented by the quadratic-form identity. Moreover, we guarantee that the expanding model we obtained are also Liouville integrable.
Bin Liu , Huanhe Dong and Zhu Li . (2007). The Hamiltonian Structure of Two Integrable Expanding Models. Journal of Partial Differential Equations. 20 (4). 337-348. doi:
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