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
5 papers · 2 filters
Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with p-power nonlinearities in two dimensions
S. C. Anco, M. L. Gandarias, E. Recio
Nonlinear generalizations of integrable equations in one dimension, such as the KdV and Boussinesq equations with -power nonlinearities, arise in many physical applications and…
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…
Conserved norms and related conservation laws for multi-peakon equations
Elena Recio, Stephen C. Anco
All nonlinear dispersive wave equations in the general class are known to possess multi-peakon weak solutions. A classification is presented for fa…
Long wavelength solitary waves in Hertzian chains and their properties in different nonlinearity regimes
Stephen C. Anco, Michelle Przedborski
Properties of solitary waves in pre-compressed Hertzian chains of particles are studied in the long wavelength limit using a well-known continuum model. Several main results are ob…
Conservation laws and symmetries of a generalized Kawahara equation
Maria Luz Gandarias, Maria Rosa, Elena Recio +1
The generalized Kawahara equation appears in many physical applications. A complete classification of low-order conservation laws an…