176 citations · 768 across the 86 of their papers we have counts for
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Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
Roy H. Goodman, Jeremy L. Marzuola, Michael I. Weinstein
We study the long-time behavior of solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation (NLS/GP) with a symmetric double-well potential, continuing work of the 2nd an…
Higher Dimensional Vortex Standing Waves for Nonlinear Schr{ö}dinger Equations
Jeremy L. Marzuola, Michael E. Taylor
We study standing wave solutions to nonlinear Schr{ö}dinger equations, on a manifold with a rotational symmetry, which transform in a natural fashion under the group of rotations.…
The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus
M. Burak Erdogan, Jeremy L. Marzuola, Katherine A. Newhall +1
The Zakharov system was originally proposed to study the propagation of Langmuir waves in an ionized plasma. In this paper, motivated by earlier work of the first and third authors…