Jimmie Adriazola, Roy H. Goodman. 2022. "An Optimal Control Approach to Gradient-Index Design for Beam Reshaping." Journal of the Optical Society of America A , vol. 39 , no. 5 , pp. 907--915.

Jimmie Adriazola, Roy H. Goodman. "A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates." Physical Review E , vol. 105 , pp. 025311(1-16).

Timothy E Favor, Roy H. Goodman, J. Douglas Wright. 2020. "Solitary Waves in Mass-in-Mass Lattices." Zeitschrift für Angewandte Mathematik und Physik , vol. 71 , no. 6 , pp. 1-20.

Amir Sagiv , Adi Ditkowski, Roy H. Goodman, Gadi Fibich. 2020. "Loss of physical reversibility in reversible systems." Physica D: Nonlinear Phenomena , vol. 410 , pp. 132515.

Amir Sagiv, Adi Ditkowski, Roy H. Goodman, Gadi Fibich. 2020. "Loss of Physical Reversibility in Reversible Systems." Physica D: Nonlinear Phenomena , vol. 410 , pp. 132515.

Brandon M. Behring, Roy H. Goodman. 2019. "Stability of leapfrogging vortex pairs: A semi-analytic approach." Physical Review Fluids , vol. 4 , no. 12 , pp. 124703.

Roy H. Goodman, Maurizio Porfiri. 2019. "Topological features determining the error in the inference of networks using transfer entropy." Mathematics in Engineering , vol. 2 , no. 1 , pp. 34-54.

Adilbek Kairzhan, Dmitry E. Pelinovsky, Roy H. Goodman. 2019. "Drift of Spectrally Stable Shifted States on Star Graphs." SIAM Journal on Applied Dynamical Systems , vol. 18 , no. 4 , pp. 1723-1755.

Roy H. Goodman. 2019. "NLS Bifurcations on the bowtie combinatorial graph and the dumbbell metric graph." Discrete and Continuous Dynamical Systems , vol. 39 , no. 4 , pp. 2203--2232.

Roy H. Goodman. 2017. "Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential." Physica D: Nonlinear Phenomena , vol. 359 , pp. 39--59.

Roy H. Goodman, Aminur Rahman, Michael J Bellanich, Catherine Morrison. 2015. "A mechanical analog of the two-bounce resonance of solitary waves: Modeling and experiment." Chaos: An Interdisciplinary Journal of Nonlinear Science , vol. 25 , no. 4 , pp. 043109.

Roy H. Goodman, Panayotis G. Kevrekidis, Ricardo Carretero-González. 2015. "Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates." SIAM Journal on Applied Dynamical Systems , vol. 14 , no. 2 , pp. 699-729.

Roy H. Goodman, Jeremy L. Marzuola, Michael I. Weinsten. 2015. "Self-trapping and Josephson tunneling solutions to the nonlinear Schrodinger / Gross-Pitaevskii Equation." Discrete and Continuous Dynamical Systems--Series A / American Institute of Mathematical Sciences , vol. 35 , no. 1 , pp. 225-246.

Jacek K. Wróbel, Roy H. Goodman. 2013. "High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps." Communications in Nonlinear Science and Numerical Simulation , vol. 18 , no. 7 , pp. 1734-1745.

Roy H. Goodman. 2011. "Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes." J. Phys. A Math. Theor. , vol. 44 , no. 42 , pp. 425101 (28pp).

J. Blawzddiewicz, Roy H. Goodman, N. Khurana, E. Wajnryb, Yuan-Nan Young. 2010. "Nonlinear hydrodynamic phenomena in Stokes flow regime." Physica D/Elsevier , vol. 239 , no. 14 , pp. 1214-1224.

Roy H. Goodman, Michael I. Weinstein. 2008. "Stability and instability of nonlinear defect states in the coupled mode equations—Analytical and numerical study." Physica D: Nonlinear Phenomena , vol. 237 , no. 21 , pp. 2731-2760.

Yuan-Nan Young, Jerzy Blawzdiewiecz, Vittorio Cristini, Roy H. Goodman. 2008. "Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation." Journal of Fluid Mechanics , vol. 607 , pp. 209-234.

Roy H. Goodman, Richard Haberman. 2007. "Chaotic Scattering and the -Bounce Resonance in Solitary-Wave Interactions." Physical Review Letters , vol. 98 , no. 10 .

Roy H. Goodman, Richard Haberman. 2007. "Chaotic Scattering and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Bounce Resonance in Solitary-Wave Interactions." Physical Review Letters , vol. 98 , no. 10 .

Roy H. Goodman, Richard Haberman. 2005. "Vector-soliton collision dynamics in nonlinear optical fibers." Physical Review E , vol. 71 , no. 5 .

Roy H. Goodman, Richard Haberman. 2005. "Kink-Antikink Collisions in the phi^4 Equation: The n-Bounce Resonance and the Separatrix Map." SIAM Journal on Applied Dynamical Systems , vol. 4 , no. 4 , pp. 1195-1228.

Roy H. Goodman, Richard Haberman. 2004. "Interaction of sine-Gordon kinks with defects: the two-bounce resonance." Physica D: Nonlinear Phenomena , vol. 195 , no. 3-4 , pp. 303-323.

Roy H. Goodman, Richart E. Slusher, Michael I. Weinstein. 2002. "Stopping light on a defect: erratum." Journal of the Optical Society of America B , vol. 19 , no. 11 , pp. 2737.

Roy H. Goodman, Richart E. Slusher, Michael I. Weinstein. 2002. "Stopping light on a defect." Journal of the Optical Society of America B , vol. 19 , no. 7 , pp. 1635.

Roy H. Goodman, David S. Graff, Leonard M. Sander, Patrick Leroux-Hugon, Eric Clément. 1995. "Trigger waves in a model for catalysis." Physical Review E , vol. 52 , no. 6 , pp. 5904-5909.