Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation
A new gradient-holonomic approach to the construction of integrability criteria for nonlinear dynamical systems is described for the example of the nonlinear hydrodynamic equations in the mechanics of Itô and of Benney and Kaup.
scientific article; zbMATH DE number 4011071