Geodesic
An integrable system extending the Korteweg--de~Vries equation
Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1239-1250.

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Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals. 
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D. Fofana. An integrable system extending the Korteweg--de~Vries equation. Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1239-1250. http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a6/

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