Two hierarchies of new nonlinear evolution equations associated with 3×3 matrix spectral problems

Xianguo Geng and Dianlou Du

Chaos, Solitons & Fractals, 2006, vol. 29, issue 5, 1165-1172

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:5:p:1165-1172

DOI: 10.1016/j.chaos.2005.08.086

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