Geodesic
Asymptotic benaviour of the resolvent of Sturm--Liouville equations and the algebra of the Korteweg--de~Vries equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 30 (1975) no. 5, pp. 77-113

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This paper is concerned with a group of problems associated with recent results on non-linear equations of Korteweg-de Vries type. The second chapter is basically of a survey character and investigates connections between these equations and trace formulae. In the first chapter we develop a new algebraic formalism of the calculus of variations. 
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     author = {I. M. Gel'fand and L. A. Dikii},
     title = {Asymptotic benaviour of the resolvent of {Sturm--Liouville} equations and the algebra of the {Korteweg--de~Vries} equations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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I. M. Gel'fand; L. A. Dikii. Asymptotic benaviour of the resolvent of Sturm--Liouville equations and the algebra of the Korteweg--de~Vries equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 30 (1975) no. 5, pp. 77-113. http://geodesic.mathdoc.fr/item/RM_1975_30_5_a2/