70 citations · 944 across the 99 of their papers we have counts for
107 papers
Rogue-like waves from collision of mKdV solitons
Stephen C. Anco, Jaskaran Maa
Interactions of two solitary waves with an up and a down orientation in the modified Korteweg-de Vries equation are shown to produce rogue-like waves. For waves that asymptotically…
Geometric curve flows in the plane and mKdV loop solutions
Stephen C. Anco, Jaskaran Maan
There is a well known correspondence between geometric curve flows in the Euclidean plane and solutions of the modified Korteweg-de Vries (mKdV) equation. For each type of mKdV tra…
Hidden symmetry group for particle orbits (timelike geodesics) in Schwarzschild spacetime
Stephen C. Anco, Mahdieh Gol Bashmani Moghadam
For the timelike geodesic equations in Schwarzschild spacetime, three hidden conserved quantities were found recently, which are analogues of dynamical quantities related to the we…
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…