Symmetry actions and brackets for adjoint-symmetries. II: Physical examples

@article{Anco2022SymmetryAA,
  title={Symmetry actions and brackets for adjoint-symmetries. II: Physical examples},
  author={Stephen C. Anco},
  journal={European Journal of Applied Mathematics},
  year={2022}
}
  • S. Anco
  • Published 22 August 2022
  • Mathematics
  • European Journal of Applied Mathematics
Symmetries and adjoint-symmetries are two fundamental (coordinate-free) structures of PDE systems. Recent work has developed several new algebraic aspects of adjoint-symmetries: three fundamental actions of symmetries on adjoint-symmetries; a Lie bracket on the set of adjoint-symmetries given by the range of a symmetry action; a generalised Noether (pre-symplectic) operator constructed from any non-variational adjoint-symmetry. These results are illustrated here by considering five examples… 
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