122 citations · 358 across the 6 of their papers we have counts for
6 papers
2D mobile breather scattering in a hexagonal crystal lattice
J. Bajars, J. C. Eilbeck, B. Leimkuhler
We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, c…
Spectral Curves of Operators with Elliptic Coefficients
J. Chris Eilbeck, Victor Z. Enolski, Emma Previato
A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators that satisfy the elliptic ansatz. This results in examples of…
Linear r-Matrix Algebra for a Hierarchy of One-Dimensional Particle Systems Separable in Parabolic Coordinates
J C Eilbeck, V Z Enol'skii, V B Kuznetsov +1
We consider a hierarchy of many-particle systems on the line with polynomial potentials separable in parabolic coordinates. The first non-trivial member of this hierarchy is a gene…
Localized moving breathers in a 2-D hexagonal lattice
J. L. Marín, J. C. Eilbeck, F. M. Russell
We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice.…
Quantum Lattice Solitons
A. C. Scott, J. C. Eilbeck, H. Gilhøj
The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schrödinger equation, ii) The Ablowitz-Ladik system, and iii…
Linear -matrix algebra for classical separable systems
J. C. Eilbeck, V. Z. Enol'skii, Vadim B. Kuznetsov +1
We consider a hierarchy of the natural type Hamiltonian systems of degrees of freedom with polynomial potentials separable in general ellipsoidal and general paraboloidal coord…