Adjoint symmetries for time-dependent second-order equations
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Publication:3198570
DOI10.1088/0305-4470/23/8/010zbMath0713.58018OpenAlexW2056894525MaRDI QIDQ3198570
Mike Crampin, Geoff Prince, Willy Sarlet
Publication date: 1990
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/23/8/010
Related Items (19)
Unnamed Item ⋮ Derivations of forms along a map: The framework for time-dependent second-order equations ⋮ Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations ⋮ Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints ⋮ A generalization of the Liouville–Arnol'd theorem ⋮ Symmetry actions and brackets for adjoint-symmetries. I: Main results and applications ⋮ Symmetry actions and brackets for adjoint-symmetries. II: Physical examples ⋮ Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method ⋮ Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations ⋮ Derivations of differential forms along the tangent bundle projection ⋮ Adjoint symmetries, separability, and volume forms ⋮ Contact symmetries of the Helmholtz form ⋮ REDUCE-procedures for the study of adjoint symmetries of second-order differential equations ⋮ Variational principles for nonpotential operators ⋮ Unnamed Item ⋮ Decomposition of almost Poisson structure of non-self-adjoint dynamical systems ⋮ 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 ⋮ Jacobi fields and linear connections for arbitrary second-order ODEs.
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