## Abstract

A subalgebra of loop algebra Ã_{2} and its expanding loop algebra Ḡ are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schrödinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schrödinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.

Original language | English |
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Pages (from-to) | 132-138 |

Number of pages | 7 |

Journal | Chinese Physics |

Volume | 13 |

Issue number | 2 |

Publication status | Published - 1 Feb 2004 |

## Scopus Subject Areas

- Physics and Astronomy(all)

## User-Defined Keywords

- Hamiltonian structure
- Integrable hierarchy
- Loop algebra

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