255 citations
- Universidad de CádizES12 papers
- Max Planck Institute for Solid State ResearchDE11 papers
- Landau Institute for Theoretical PhysicsRU9 papers
- University of British ColumbiaCA7 papers
- University of AlbertaCA6 papers
- Czech Academy of SciencesCZ5 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ5 papers
- University at Buffalo, State University of New YorkUS5 papers
- University of VictoriaCA5 papers
- Charles UniversityCZ4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Institute for Advanced Studies in Basic SciencesIR4 papers
45 papers · 1 filter
Symmetry analysis and hidden variational structure of Westervelt's equation in nonlinear acoustics
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
Westervelt's equation is a nonlinear wave equation that is widely used to model the propagation of sound waves in a compressible medium, with one important application being ultra-…
Conservation laws, symmetries, and line solitons of a Kawahara-KP equation
Almudena P. Marquez, Maria L. Gandarias, Stephen C. Anco
A generalization of the KP equation involving higher-order dispersion is studied. This equation appears in several physical applications. As new results, the Lie point symmetries a…
Symmetries and Casimirs of radial compressible fluid flow and gas dynamics in n>1 dimensions
Stephen C. Anco, Sara Seifi, Thomas Wolf
Symmetries and Casimirs are studied for the Hamiltonian equations of radial compressible fluid flow in n>1 dimensions. An explicit determination of all Lie point symmetries is carr…
New conserved integrals and invariants of radial compressible flow in dimensions
Stephen C. Anco, Sara Seifi, Amanullah Dar
Conserved integrals and invariants (advected scalars) are studied for the equations of radial compressible fluid/gas flow in dimensions. Apart from entropy, which is a well-k…
Topological charges and conservation laws involving an arbitrary function of time for dynamical PDEs
Stephen C. Anco, Elena Recio
Dynamical PDEs that have a spatial divergence form possess conservation laws that involve an arbitrary function of time. In one spatial dimension, such conservation laws are shown…
A formula for symmetry recursion operators from non-variational symmetries of partial differential equations
Stephen C. Anco, Bao Wang
An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-v…