10 citations · 12 across the 3 of their papers we have counts for
3 papers
math-ph2017★ 1 cited
Elastic null curve flows, nonlinear -integrable systems, and geometric realization of Cole-Hopf transformations
Zühal Küçükarslan Yüzbaşı, Stephen C. Anco
Elastic (stretching) flows of null curves are studied in three-dimensional Minkowski space. As a main tool, a natural type of moving frame for null curves is introduced, without us…
math-ph2011★ 1 cited
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
Stephen C. Anco, Sajid Ali, Thomas Wolf
A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses…
math-ph2007★ 10 cited
Symmetries, conservation laws and exact solutions of static plasma equilibrium systems in three dimensions
Alexei F. Cheviakov, Stephen C. Anco
For static reductions of isotropic and anisotropic Magnetohydrodynamics plasma equilibrium models, a complete classification of admitted point symmetries and conservation laws up t…