Geodesic
Asymptotic integration of some class of weakly nonlinear Hamilton systems
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 42-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of asymptotic integration of some class of $\infty$-dimensional Hamilton equations is described. The method enables to obtain the solution with desirable precision. 
@article{ZNSL_1985_148_a4,
     author = {S. A. Vakulenko},
     title = {Asymptotic integration of some class of weakly nonlinear {Hamilton} systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {42--51},
     year = {1985},
     volume = {148},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a4/}
}
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S. A. Vakulenko. Asymptotic integration of some class of weakly nonlinear Hamilton systems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 42-51. http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a4/