Geodesic
The Lax representation with a~spectral parameter for certain dynamical systems
Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 245-268

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It is shown that all dynamical systems forming a countable set of integrable discretizations of the KdV equation admit a Lax representation with a spectral parameter. Continuous limits of Fermi–Pasta–Ulam lattices are investigated, and a connection is established between them and the linear Tricomi equation. Bibliography: 11 titles. 
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     author = {O. I. Bogoyavlenskii},
     title = {The {Lax} representation with a~spectral parameter for certain dynamical systems},
     journal = {Izvestiya. Mathematics },
     pages = {245--268},
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     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a0/}
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O. I. Bogoyavlenskii. The Lax representation with a~spectral parameter for certain dynamical systems. Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 245-268. http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a0/