Geodesic
Algebraic constructions of certain integrable equations
Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 39-65

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For differential equations in an arbitrary associative algebra, invariant constructions are presented that are connected with automorphisms of the algebra and admit a Lax representation. A Lax representation is found for a certain Hamiltonian integrodifferential equation, along with explicit formulas for a countable set of first integrals of it. Bibliography: 13 titles 
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     author = {O. I. Bogoyavlenskii},
     title = {Algebraic constructions of certain integrable equations},
     journal = {Izvestiya. Mathematics },
     pages = {39--65},
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     volume = {33},
     number = {1},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a1/}
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O. I. Bogoyavlenskii. Algebraic constructions of certain integrable equations. Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 39-65. http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a1/