Geodesic
Veselov--Novikov equation as a~natural two-dimensional generalization of the Korteweg--de~Vries equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 309-314

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Miura transform between the solutions of KdF and MKdF equations is extended to the two-dimensional case. An integrable equation connected with the two-dimensional Dirac operator – modified Vesselov–Novikov equation – is introduced. 
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     author = {L. V. Bogdanov},
     title = {Veselov--Novikov equation as a~natural two-dimensional generalization of the {Korteweg--de~Vries} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--314},
     publisher = {mathdoc},
     volume = {70},
     number = {2},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a14/}
}
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L. V. Bogdanov. Veselov--Novikov equation as a~natural two-dimensional generalization of the Korteweg--de~Vries equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 309-314. http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a14/