Article ID Journal Published Year Pages File Type
1891089 Chaos, Solitons & Fractals 2006 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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Two hierarchies of new nonlinear evolution equations associated with 3 × 3 matrix spectral problems
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