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Published online by Cambridge University Press: 19 March 2020
Lax pairs are formulated in differential algebraic terms, their usefulness in connection with integrals is reviewed, and a general approach to their construction is suggested.No prior familiarity with these entities is assumed. Concrete applications are included, the final one involving a curious geodesic equatlon which is "almost'' in Hamiltonian form w.r.t. an "almost'' symplectic structure.
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