Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation
type: Item
instance of: scholarly article
title: Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation
zbMATH Open document ID: 0623.35061
DOI: 10.1007/BF01028694
published in: Theoretical and Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 4011071
zbMATH Keywords: Itô and Benney-Kaup systems
zbMATH Keywords: gradient-holonomic approach
zbMATH Keywords: integrability criteria
zbMATH Keywords: nonlinear dynamical systems
zbMATH Keywords: nonlinear hydrodynamic equations
author: Nikolai N. jun. Bogolubov
author: A. K. Prykarpats'kyi
MaRDI profile type: Publication
cites work: Q3732103
cites work: A simple model of the integrable Hamiltonian equation
cites work: Prolongation structure without prolongation
cites work: Q5541551
cites work: Q5731354
cites work: Mathematics of dispersive water waves
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: A recursive generation of local higher-order sine–Gordon equations and their Bäcklund transformation
full work available at URL: https://doi.org/10.1007/bf01028694
OpenAlex ID: W2075235464
description: scientific article; zbMATH DE number 4011071