Position dependent non-linear Schrödinger hierarchies: involutivity, commutation relations, renormalisation and classical invariants

DOI10.1016/j.bulsci.2006.03.004zbMath1207.35257OpenAlexW2012792212MaRDI QIDQ2370813

Torbjoern Kolsrud

Publication date: 29 June 2007

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.03.004

zbMATH Keywords

conservation lawssymmetriescommutation relationsconstants of motionPoisson algebraclassical invariant theoryKdVclassical mechanicsinvolutivityNLS-likerenormalisation in field theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants of ordinary differential equations (34C14) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of Lie algebras and superalgebras to integrable systems (17B80) Poisson algebras (17B63) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10) Renormalization and other field-theoretical methods for turbulence (76F30)

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