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An integrable extension of a soliton hierarchy associated with so(3,R) and its bi-Hamiltonian formulation
Journal article   Peer reviewed

An integrable extension of a soliton hierarchy associated with so(3,R) and its bi-Hamiltonian formulation

Solomon Manukure and Wen-Xiu Ma
Journal of mathematical physics, Vol.56(11), p.111505
01/11/2015

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
A hierarchy of soliton equations is constructed from an extended spectral problem associated with the three-dimensional special orthogonal real Lie algebra so(3,R) by means of zero curvature equations. The bi-Hamiltonian structure of this hierarchy is also presented via the trace identity. (C) 2015 AIP Publishing LLC.

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