185 citations · 3.5k across the 160 of their papers we have counts for
13 papers · 1 filter
Integrable curl-force Hamiltonians: bi-Hamiltonian structure, separability, and periodic orbits
Alexander Felski, Andreas Fring
We investigate Hamiltonian curl-force systems with indefinite kinetic energy. We first reconsider Berry's polynomial Hamiltonian curl-force model, whose numerically observed closed…
Conformal bi-Hamiltonian structure and integrability of an interacting Pais-Uhlenbeck oscillator
Alexander Felski, Andreas Fring
We investigate an interacting Pais-Uhlenbeck oscillator with a Landau-Ginzburg type interaction term and analyse its classical dynamics from a geometric and numerical point of view…
Quasi-isospectral higher-order Hamiltonians via a reversed Lax pair construction
Francisco Correa, Andreas Fring
We present a novel approach for constructing quasi-isospectral higher-order Hamiltonians from time-independent Lax pairs by reversing the conventional interpretation of the Lax pai…
Nonlinear evolution of disturbances in higher time-derivative theories
Andreas Fring, Takano Taira, Bethan Turner
We investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in non…
Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring +1
Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particlar space-time points simultaneously also contain fields that are located…
Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model
Francisco Correa, Andreas Fring, Takanobu Taira
We investigate different types of complex soliton solutions with regard to their stability against linear pertubations. In the Bullough-Dodd scalar field theory we find linearly st…