Binary nonlinearization of the super classical-Boussinesq hierarchy

• 来源期刊: 中国物理B(英文版)
• 学科: 数学
• 关键词: 层次结构 非线性化 二进制 Liouville可积 对称约束 哈密顿系统 Lax对 动力学
• 年，卷（期）: 2011,（7）
• 页码范围: 070201.1-070201.9
• 页数: 2页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.1088/1674-1056/20/7/070201

摘要

The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained.Under the obtained symmetry constraint,the n-th flow of the super classical-Boussinesq hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems,defined over the super-symmetry manifold with the corresponding dynamical variables x and t n.The integrals of motion required for Liouville integrability are explicitly given.