Three-dimensional lattice of Bäcklund transformations of integrable cases of the Davey-Stewartson system

DOI10.1134/S0040577916120047zbMath1362.37133MaRDI QIDQ518519

V. G. Marikhin

Publication date: 28 March 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationHirota equationDavey-Stewartson system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
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• On a class of Toda chains
• Pfaffianization of the Davey-Stewartson equations
• Integrable lattices
• Bäcklund-Schlesinger transformations for Davey-Stewartson equations
• To a transformation theory of two-dimensional integrable systems
• The Relation between a 2D Lotka-Volterra equation and a 2D Toda Lattice
• Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
• The Davey-Stewartson System and the Bäcklund Transformations
• On three-dimensional packets of surface waves

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