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A soliton hierarchy associated with so(3,R)
Journal article   Peer reviewed

A soliton hierarchy associated with so(3,R)

Wen-Xiu Ma
Applied mathematics and computation, Vol.220, pp.117-122
01/09/2013
DOI: https://doi.org/10.1016/j.amc.2013.04.062

Abstract

Hamiltonian structure Recursion operator Zero curvature equation
•Use the real Lie algebra so(3,R) to generate a soliton hierarchy.•Generate a bi-Hamiltonian structure by the trace identity.•Obtain a hereditary recursion operator. We generate a hierarchy of soliton equations from zero curvature equations associated with the real Lie algebra so(3,R) and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure and thus integrable in the Liouville sense.

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