Geodesic
Breaking solitons.~IV
Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 475-487.

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New commutation representations for the $(2+1)$- and $(3+1)$-dimensional integrable equations with breaking solitons are found, which are compatibility conditions for linear systems of equations depending on the arbitrary parameter $\lambda$. 
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O. I. Bogoyavlenskii. Breaking solitons.~IV. Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 475-487. http://geodesic.mathdoc.fr/item/IM2_1991_37_3_a0/

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[2] Zakharov V. E., Mashkov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov, Nauka, M., 1980 | MR

[3] Takhtadzhyan L. A., Faddeev L. D., Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl

[4] Bogoyavlenskii O. I., “Oprokidyvayuschiesya solitony, III”, Izv. AN SSSR. Ser. matem., 54:1 (1990), 123–131 | MR | Zbl

[5] Bogoyavlenskii O. I., “Oprokidyvayuschiesya solitony v dvumernykh integriruemykh uravneniyakh”, UMN, 45:4 (1990), 17–77 | MR | Zbl

[6] Bogoyavlenskii O. I., “Oprokidyvayuschiesya solitony, II”, Izv. AN SSSR. Ser. matem., 53:4 (1989), 907–910 | MR | Zbl