This article is cited in 11 papers

Complete integrability of the nonlinear ito and Benney–Kaup systems: Gradient algorithm and lax representation

N. N. Bogolyubov (Jr.), A. K. Prikarpatskii


Abstract: 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 Ito and of Benney and Kaup.

Received: 17.10.1985

 English version: Theoretical and Mathematical Physics, 1986, 67:3, 586–596

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