## Abstract

Based on two foundational subalgebras of the Lie algebra A_{1}, a few expanding higher-dimensional Lie algebras are presented to generate four integrable couplings of a soliton equation hierarchy. The Hamiltonian structure for one of them is obtained by using the quadratic-form identity. The classification of the Lie algebras is also given. Moreover, a decomposition of one higher-dimensional Lie algebra is demonstrated to produce a q-integrable expanding hierarchy for generalized q-form KdV hierarchy.

Original language | English |
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Pages (from-to) | 471-480 |

Number of pages | 10 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 359 |

Issue number | 5 |

DOIs | |

Publication status | Published - 4 Dec 2006 |

## Scopus Subject Areas

- Physics and Astronomy(all)

## User-Defined Keywords

- Integrable coupling
- Lie algebra
- Soliton equation

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