Bäcklund-Schlesinger transformations for Davey-Stewartson equations

DOI10.1007/BF02073867zbMath0934.35179OpenAlexW2051974946MaRDI QIDQ1817655

Artyom V. Yurov

Publication date: 13 April 2000

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

Full work available at URL: https://doi.org/10.1007/bf02073867

zbMATH Keywords

Davey-Stewartson equationsBoiti-Leon-Pempinelli equationsToda lattice equationsBäcklund auto-transformation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Discrete symmetry’s chains and links between integrable equations ⋮ Three-dimensional lattice of Bäcklund transformations of integrable cases of the Davey-Stewartson system ⋮ Conjugate chains of discrete symmetries in \(1+2\) nonlinear equations ⋮ On the localized solutions of the Davey-Stewartson-I equations

Cites Work

• Unnamed Item
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• Explicit Bäcklund transformations for multifield Schrödinger equations. Jordan generalizations of the Toda chain
• A new type of soliton behavior of the Davey-Stewartson equations in a plasma system
• Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
• Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation
• On three-dimensional packets of surface waves

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