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Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures
Journal article   Peer reviewed

Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures

Liya Jiang, Yongyang Jin, Wen-Xiu Ma, Shoufeng Shen and Haiyan Zhu
Communications in nonlinear science & numerical simulation, Vol.23(1-3), pp.388-396
01/06/2015
DOI: https://doi.org/10.1016/j.cnsns.2014.10.024

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
We present two new matrix spectral problems, and construct the corresponding soliton hierarchies of Levi type with the aid of symbolic computation by Maple. Bi-Hamiltonian structures of the resulting soliton hierarchies are obtained by means of the trace identity. Thus it is shown that these soliton hierarchies are Liouville integrable. (C) 2014 Elsevier B.V. All rights reserved.

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