Nonlinear Schrödinger equation

Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
We use optimal control based on a Galerkin-truncated model to transfer a BEC from one well of a two-well potential to the other.
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Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential
The nonlinear Schrödinger/Gross–Pitaevskii (NLS/GP) equation is considered in the presence of three equally-spaced potentials. …
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Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential
Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
We study the long-time behavior of solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation (NLS/GP) with a symmetric …
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Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes
We examine the dynamics of solutions to nonlinear Schrödinger/Gross– Pitaevskii equations that arise due to semisimple indefinite …
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Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes
Strong NLS soliton--defect interactions
We consider the interaction of a nonlinear Schrödinger soliton with a spatially localized (point) defect in the medium through which it …
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Strong NLS soliton--defect interactions
Trapping of kinks and solitons by defects: phase space transport in finite-dimensional models
We study models of Fei et al. and of Forinash et al of kinks in the sine-Gordon equation, and solitons in the nonlinear Schrodinger …
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