A matrix Miura transform

DOI10.1016/J.GEOMPHYS.2013.07.008zbMath1380.35144OpenAlexW1994798760MaRDI QIDQ391016

Claude Roger

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.07.008

zbMATH Keywords

Schrödinger operatorsdifferential operators in odd variableshierarchies of PDEinfinite dimensional Lie algebrasinfinite dimensional Poisson geometryMiura transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Loop groups and related constructions, group-theoretic treatment (22E67) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (1)

An Algebraic Background for Hierarchies of PDE in Dimension (2|1)

Cites Work

• Lie antialgebras: Prémices
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms
• Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\)
• A Hamiltonian Action of the Schrödinger–Virasoro Algebra on a Space of Periodic Time-Dependent Schrödinger Operators in (1 + 1)-Dimensions
• The Geometry of Infinite-Dimensional Groups
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
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