Geodesic
Overturning solitons in new two-dimensional integrable equations
Izvestiya. Mathematics , Tome 34 (1990) no. 2, pp. 245-259

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Two two-dimensional nonlinear equations are constructed which are integrable by means of a one-dimensional inverse scattering problem. Soliton and $N$-soliton solutions are indicated which are smooth in one coordinate and in the other possess the same overturning property as the classical Riemann wave. Bibliography: 9 titles. 
@article{IM2_1990_34_2_a1,
     author = {O. I. Bogoyavlenskii},
     title = {Overturning solitons in new two-dimensional integrable equations},
     journal = {Izvestiya. Mathematics },
     pages = {245--259},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_34_2_a1/}
}
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O. I. Bogoyavlenskii. Overturning solitons in new two-dimensional integrable equations. Izvestiya. Mathematics , Tome 34 (1990) no. 2, pp. 245-259. http://geodesic.mathdoc.fr/item/IM2_1990_34_2_a1/