Pseudo-symmetries, Noether's theorem and the adjoint equation
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Publication:3761343
DOI10.1088/0305-4470/20/6/020zbMath0623.58045OpenAlexW2024161792MaRDI QIDQ3761343
Mike Crampin, Frans Cantrijn, Willy Sarlet
Publication date: 1987
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/20/6/020
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Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Noether theorem in higher-order Lagrangian mechanics ⋮ Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations ⋮ Infinitesimal symmetries in contact Hamiltonian systems ⋮ Symmetry actions and brackets for adjoint-symmetries. I: Main results and applications ⋮ Symmetry actions and brackets for adjoint-symmetries. II: Physical examples ⋮ Integrating factors and first integrals for Liénard type and frequency-damped oscillators ⋮ Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method ⋮ Symmetries and constants of the motion for higher-order Lagrangian systems ⋮ Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle ⋮ Derivations of differential forms along the tangent bundle projection ⋮ Adjoint symmetries, separability, and volume forms ⋮ REDUCE-procedures for the study of adjoint symmetries of second-order differential equations ⋮ The inverse problem in the calculus of variations and the geometry of the tangent bundle ⋮ Variational principles for nonpotential operators ⋮ Derivations of differential forms along the tangent bundle projection. II ⋮ Unnamed Item ⋮ Adjoint symmetries and the generation of first integrals in non-holonomic mechanics ⋮ Some approaches to the calculation of conservation laws for a telegraph system and their comparisons
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