Geodesic
Multidimensional integrable nonlinear systems and methods for constructing their solutions
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 77-91

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A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of the nonlocal Riemann problem in presented. The method generalizes the local Riemann problem approach to the case of several space variables and incorporates the well-known Zakharov–Shabat dressing method. 
@article{ZNSL_1984_133_a5,
     author = {V. E. Zakharov and S. V. Manakov},
     title = {Multidimensional integrable nonlinear systems and methods for constructing their solutions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--91},
     publisher = {mathdoc},
     volume = {133},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a5/}
}
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V. E. Zakharov; S. V. Manakov. Multidimensional integrable nonlinear systems and methods for constructing their solutions. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 77-91. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a5/