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An Integrable so(3, R)-Counterpart of the Heisenberg Soliton Hierarchy
Journal article   Peer reviewed

An Integrable so(3, R)-Counterpart of the Heisenberg Soliton Hierarchy

Wen-Xiu Ma, Shou Feng Shen, Shui Meng Yu, Hui Qun Zhang and Wen Ying Zhang
Reports on mathematical physics, Vol.74(3), pp.283-299
12/2014

Abstract

35Q53 37K05 37K10 Hamiltonian structure Heisenberg hierarchy integrable equation trace identity zero curvature equation
An integrable counterpart of the Heisenberg soliton hierarchy is generated from a matrix spectral problem associated with so(3, R). Bi-Hamiltonian structures of the resulting counterpart soliton hierarchy are furnished by the trace identity, and all newly presented equations are shown to possess infinitely many commuting symmetries and conservation laws.

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