Articles you may be interested inTwo soliton hierarchies associated with SO(4) and the applications of SU(2) SU(2) SO(4) J. Math. Phys. 55, 093510 (2014); 10.1063/1.4895914
SO(4) algebraic approach to the three-body bound state problem in two dimensionsWe give a new derivation of the Manakov and the product case integrability conditions of the Euler equations on Lie algebra so͑4͒. Fourth first integral functionally independent of the three already known integrals is obtained explicitly for all values of the parameters by an algorithmic approach.
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