151 citations
- University of MichiganUS5 papers
- Baylor UniversityUS4 papers
- Universidad Autónoma del Estado de MorelosMX4 papers
- University of Notre DameUS4 papers
- Australian National UniversityAU3 papers
- Rutgers, The State University of New JerseyUS3 papers
- Australian Mathematical Sciences InstituteAU2 papers
- Brigham Young UniversityUS2 papers
- Chalmers University of TechnologySE2 papers
- East Carolina UniversityUS2 papers
- University of RzeszówPL2 papers
- American University of the Middle EastKW1 paper
52 papers
Two sequences of fully-nonlinear evolution equations and their symmetry properties
Marianna Euler, Norbert Euler
We obtain the complete Lie point symmetry algebras of two sequences of odd-order evolution equations. This includes equations that are fully-nonlinear, i.e. nonlinear in the highes…
From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
Marianna Euler, Norbert Euler
In this paper we derive two examples of fully-nonlinear symmetry-integrable evolution equations with algebraic nonlinearities, namely one class of 3rd-order equations and a 5th-ord…
On differential equations invariant under a projective transformation group: integrability and reductions
Marianna Euler, Norbert Euler, Francesco Oliveri
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonline…
On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
Marianna Euler, Norbert Euler
We derive the general conditions for fully-nonlinear symmetry-integrable second-order evolution equations and their first-order recursion operators. We then apply the established P…
The variation of Barnes and Bessel zeta functions
Clara L. Aldana, Klaus Kirsten, Julie Rowlett
We consider the variation of two fundamental types of zeta functions that arise in the study of both physical and analytical problems in geometric settings involving conical singul…
On the anti-quasi-steady-state conditions of enzyme kinetics
Justin Eilertsen, Santiago Schnell, Sebastian Walcher
Quasi-steady state reductions for the irreversible Michaelis--Menten reaction mechanism are of interest both from a theoretical and an experimental design perspective. A number of…