Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces

DOI10.1063/1.1480449zbMath1060.37067arXivmath-ph/0011030OpenAlexW2026848298WikidataQ60309287 ScholiaQ60309287MaRDI QIDQ4832680

Małgorzata Klimek

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0011030

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometry of quantum groups (58B32) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
• Quantum deformation of Lorentz group
• Conservation laws for linear equations on quantum Minkowski spaces
• Noncommutative geometry and gauge theory on discrete groups
• Remarks on quantum integration
• On the structure of inhomogeneous quantum groups
• Integrals of motion for some equations on \(q\)-Minkowski space
• Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\)
• Electromagnetism and gauge theory on the permutation group \(S_{3}\).
• On the classification of quantum Poincaré groups
• Stationarity-conservation laws for certain linear fractional differential equations
• The conservation laws and integrals of motion for a certain class of equations in discrete models
• Conservation laws for linear equations on braided linear spaces
• Non-commutative geometry of finite groups
• Integrable discretizations of chiral models via deformation of the differential calculus
• Bi-differential calculi and integrable models
• Extension of q-deformed analysis and q-deformed models of classical mechanics
• Algebraic q-integration and Fourier theory on quantum and braided spaces
• CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS
• Conserved charges and supersymmetry in principal chiral and WZW models
• Towards integrals of motion on noncommutative spaces-models on \(\text{SL}_q(N)\) quantum planes

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