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Two hierarchies of new nonlinear evolution equations associated with 3 × 3 matrix spectral problems |
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| Authors: | Xianguo Geng Dianlou Du |
| Affiliation: | aResearch Center for Science, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China bDepartment of Mathematics, Zhengzhou University, 75 Daxue Road, Zhengzhou, Henan 450052, People’s Republic of China |
| Abstract: | Two hierarchies of new nonlinear evolution equations associated with 3 × 3 matrix spectral problems are proposed. The generalized bi-Hamiltonian structures for one of the two hierarchies are derived with the aid of the trace identity. Some explicit solutions of a typical nonlinear evolution equation in the hierarchy are obtained, which include soliton and periodic solutions. |
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