Geodesic
Integrability and beyond
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 235-244 
A. S. Fokas. Integrability and beyond. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 235-244. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a11/
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     author = {A. S. Fokas},
     title = {Integrability and beyond},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {1996},
     volume = {235},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a11/}
}
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An algebraic approach to solving nonlinear functional equations in the Riemann theta functions is stated. By the inverse scattering method and some general methods of the theory of partial differential equations, the solution of the initial boundary value problem for the nonlinear Schrödinger equation is presented. Bibl. 17 titles.