Geodesic
Singular solutions of the KdV equation and the inverse scattering method
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 17-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to the construction of singular solutions for the KdV equation. The presentation is based on a variant of the inverse scattering method for singular solutions of nonlinear equations, developed in the previous papers of the authors. 
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     author = {V. A. Arkad'ev and A. K. Pogrebkov and M. K. Polivanov},
     title = {Singular solutions of the {KdV} equation and the inverse scattering method},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/}
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V. A. Arkad'ev; A. K. Pogrebkov; M. K. Polivanov. Singular solutions of the KdV equation and the inverse scattering method. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 17-37. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a1/