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 
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/
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     author = {L. V. Bogdanov},
     title = {Veselov{\textendash}Novikov equation as a~natural two-dimensional generalization of the {Korteweg{\textendash}de~Vries} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--314},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a14/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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