| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629878 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
A Lie algebra is constructed and an isospectral problem with eight potentials is designed. From which, corresponding hierarchy of nonlinear evolution equation is derived and the integrable couplings of AKNS, D-AKNS, TD, Levi, Li, Ma and Fan hierarchies are deduced, and they are integrable in sense of Liouville. For each reduction case the relevant Hamiltonian structure is established by means of quadratic-form identity.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xinzeng Wang, Huanhe Dong, Yuxia Li,