5 papers · 1 filter
A hybrid Lagrangian-Hamiltonian framework and its application to conserved integrals and symmetry groups
Stephen C. Anco
A hybrid framework is developed that highlights and unifies the most important aspects of the Noether correspondence between symmetries and conserved integrals in Lagrangian and Ha…
Noether symmetry groups, locally conserved integrals, and dynamical symmetries in classical mechanics
Stephen C. Anco
Several aspects of the connection between conserved integrals (invariants) and symmetries are illustrated within a hybrid Lagrangian-Hamiltonian framework for dynamical systems. Th…
Symmetry transformation group arising from the Laplace-Runge-Lenz vector
Stephen C. Anco, Mahdieh Gol Bashmani Moghadam
The Kepler problem in classical mechanics exhibits a rich structure of conserved quantities, highlighted by the Laplace--Runge--Lenz (LRL) vector. Through Noether's theorem in reve…
Weak compactons of nonlinearly dispersive KdV and KP equations
Stephen C. Anco, Maria Gandarias
A weak formulation is devised for the K(m,n) equation which is a nonlinearly dispersive generalization of the gKdV equation having compacton solutions. With this formulation, expli…
Symmetry multi-reduction method for partial differential equations with conservation laws
Stephen C. Anco, Mariluz Gandarias
For partial differential equations (PDEs) that have independent variables and a symmetry algebra of dimension at least , an explicit algorithmic method is presented f…