Abstract:
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.
Citation:
L. V. Bogdanov, “Veselov–Novikov equation as a natural two-dimensional generalization of the Korteweg–de Vries equation”, TMF, 70:2 (1987), 309–314; Theoret. and Math. Phys., 70:2 (1987), 219–223