Geometry and multidimensional soliton equations
The connection between the differential geometry of curves and (2+1)-dimensional integrable systems is established. The Zakharov equation, the modified Veselov-Novikov equation, the modified Korteweg-de Vries equation, etc., are equivalent in the Lakshmanan sense to (2+1)-dimensional spin systems.
scientific article; zbMATH DE number 1465891
scientific article