Finite-dimensional integrable systems related to the n-wave interaction equations | |
Shi, QY | |
2001 | |
关键词 | SYMMETRY CONSTRAINT SPECTRAL PROBLEM AKNS HIERARCHY BINARY NONLINEARIZATION PETVIASHVILI EQUATION HAMILTONIAN-STRUCTURE SOLITON-EQUATIONS RESTRICTED FLOWS COUPLED KDV POTENTIALS |
英文摘要 | Under a constraint between the potentials and the eigenfunctions, Lax pairs and adjoint Lax pairs of a soliton hierarchy associated with the nxn generalized Zakharov-Shabat eigenvalue problem are transformed into a spatial finite-dimensional Hamiltonian system and a hierarchy of temporal finite-dimensional Hamiltonian systems. The Lax representations, r-matrix structure and integrals of motion are explicitly presented. These integrals of motion are functionally independent and in involution in pairs, which shows that these systems, especially the whole hierarchy of temporal finite-dimensional Hamiltonian systems, are Liouville integrable. (C) 2001 American Institute of Physics.; Physics, Mathematical; SCI(E); 0; ARTICLE; 8; 3554-3564; 42 |
语种 | 英语 |
出处 | SCI |
出版者 | 数学物理杂志 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157336] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Shi, QY. Finite-dimensional integrable systems related to the n-wave interaction equations. 2001-01-01. |
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