Algorithmic determination of infinite-dimensional symmetry groups for integrable systems in \(1+1\) dimensions

DOI10.1016/S0895-7177(97)00061-7zbMath0882.58025OpenAlexW1982637989MaRDI QIDQ1368546

Bernhard Rupp

Publication date: 12 March 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00061-7

zbMATH Keywords

Virasoro algebraintegrable PDEsinfinite-dimensional symmetry groups

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Parallel algorithms in computer science (68W10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items (4)

Representations of \(\mathfrak{sl}(2,\mathbb{C})\) in category \(\mathcal{O}\) and master symmetries ⋮ A symbolic algorithm for computing recursion operators of nonlinear partial differential equations ⋮ Nonlinear reformulation of Heisenberg's dynamics ⋮ Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations

Uses Software

• MuPAD

Cites Work

• Unified approach to action-angle representation of real and complex multisolitons
• Structure of the conservation laws in quantum integrable spin chains with short range interactions
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• GEOMETRY AND ACTION-ANGLE VARIABLES OF MULTI SOLITON SYSTEMS
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• The Recursion Operator of the Kadomtsev‐Petviashvili Equation and the Squared Eigenfunctions of the Schrödinger Operator
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