Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900268 | Journal of Mathematical Analysis and Applications | 2018 | 18 Pages |
Abstract
By a two-by-two matrix spectral problem, a generalized Dirac integrable hierarchy is presented. A Hamiltonian structure of the obtained hierarchy is established by trace identity, and its Liouville integrability is proved. Then, through Bargmann symmetry constraint, spatial part of the Lax pairs and adjoint Lax pairs is nonlinearized as a completely integrable finite-dimensional Hamiltonian system. Next, under an implicit symmetry constraint, both spatial part and temporal parts of the Lax pairs and adjoint Lax pairs are all nonlinearized as completely integrable finite-dimensional Hamiltonian systems. Ultimately, the involutive representation of solution of the generalized Dirac integrable hierarchy is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xi-Xiang Xu, Ye-Peng Sun,