Publications

Ross Parker, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Alejandro Aceves (2023). Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays. Physical Review E 2301.07631.

G.A. Tsolias, Robert J. Decker, A. Demirkaya, T.J. Alexander, Ross Parker, P.G. Kevrekidis (2023). Kink-Antikink Interaction Forces and Bound States in a nonlinear Schrödinger Model with Quadratic and Quartic dispersion. Communications in Nonlinear Science and Numerical Simulation 105 (2023) 107362.

Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis, Stéphane Lafortune (2023). The Stability of the b-family of Peakon Equations. Nonlinearity 36 (2023) 1192–1217.

Ross Parker, Andrea K. Barreiro (2022). Bifurcations of a neural network model with symmetry. SIAM Journal on Applied Dynamical Systems 21 (2022) 2535-2578.

Ross Parker, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Alejandro Aceves (2022). Revisiting Multi-breathers in the discrete Klein-Gordon equation: A Spatial Dynamics Approach. Nonlinearity 35 5714-5748.

Ross Parker, Yannan Shen, Alejandro Aceves, John Zweck (2022). Spatiotemporal dynamics in a twisted, circular waveguide array. Studies in Applied Mathematics (2022) 1-24.

Ross Parker, Björn Sandstede (2022). Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry. Journal of Differential Equations 334 (2022) 368–450.

Ross Parker, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Alejandro Aceves (2022). Floquet solitons in square lattices: Existence, Stability and Dynamics. Physical Review E 108 (2023) 024214.

Ross Parker, Panayotis G. Kevrekidis, Alejandro Aceves (2021). Stationary multi-kinks in the discrete sine-Gordon equation. Nonlinearity 35 (2022) 1036–1060.

Ross Parker, Alejandro Aceves (2021). Standing wave solutions in twisted multicore fibers. Physical Review A 103 (2021) 053505.

Ross Parker, Alejandro Aceves (2021). Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation. Physica D: Nonlinear Phenomena 422 (2021) 132890.

Todd Kapitula, Ross Parker, Björn Sandstede (2020). A reformulated Krein matrix for star-even polynomial operators with applications. SIAM Journal on Mathematical Analysis 52 (2020) 4705-4750.

Ross Parker, P.G. Kevrekidis, Björn Sandstede (2020). Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Physica D: Nonlinear Phenomena 408 (2020) 132414.