14 citations · 28 across the 7 of their papers we have counts for
8 papers
Exact analytic multi-quanta states of the Davydov Dimer
C. Athorne, L. Cruzeiro, J. C. Eilbeck
The Davydov model describes amide I energy transfer in proteins without dispersion or dissipation. In spite of five decades of study, there are few exact analytical results, especi…
Laplace maps and constraints for a class of third order partial differential operators
Chris Athorne
We explore the existence of a class of generalised Laplace maps for third order partial differential operators of the form \[\partial_1\partial_2\partial_3+a_1\partial_2\partial_3+…
Invariants of hyperbolic Partial Differential Operators
Chris Athorne, Halis Yilmaz
We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary order.
Building Abelian Functions with Generalised Baker-Hirota Operators
Matthew England, Chris Athorne
We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear…
Laplace Invariants for General Hyperbolic Systems
Chris Athorne, Halis Yilmaz
We consider the generalization of Laplace invariants to linear differential systems of arbitrary rank and dimension. We discuss completeness of certain subsets of invariants.
On the equivariant algebraic Jacobian for curves of genus two
Chris Athorne
We present a treatment of the algebraic description of the Jacobian of a generic genus two plane curve which exploits an SL2(k) equivariance and clarifes the structure of E.V.Flynn…
Generalised Elliptic Functions
Matthew England, Chris Athorne
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise the…
Identities for hyperelliptic P-functions of genus one, two and three in covariant form
Chris Athorne
We give a covariant treatment of the quadratic differential identities satisfied by the P-functions on the Jacobian of smooth hyperelliptic curves of genera 1, 2 and 3.