Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation

DOI10.1063/1.528102zbMath0784.35102OpenAlexW2088210935MaRDI QIDQ4279922

Minoru Omote

Publication date: 13 February 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528102

zbMATH Keywords

Schrödinger equationVirasoro algebrasymmetry transformationinfinite-dimensional symmetry group

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (6)

Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra ⋮ New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism ⋮ Boundary conditions for infinite conservation laws ⋮ On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system ⋮ Bäcklund-Schlesinger transformations for Davey-Stewartson equations

Cites Work

• On unitary ray representations of continuous groups
• On the infinite-dimensional symmetry group of the Davey–Stewartson equations
• Infinite number of conserved quantities and extended conformal algebra in the Thirring model
• Singularity-structure analysis and Hirota's bilinearisation of the Davey-Stewartson equation
• On the soliton solutions of the Davey-Stewartson equation for long waves
• On three-dimensional packets of surface waves

This page was built for publication: Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation