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nlin.SI2013★ 2 cited
The WKB approximation of semiclassical eigenvalues of the Zakharov-Shabat problem
Yeongjoh Kim, Long Lee, Gregory D. Lyng
We numerically compute eigenvalues of the non-self-adjoint Zakharov--Shabat problem in the semiclassical regime. In particular, we compute the eigenvalues for a Gaussian potential…
nlin.SI2012★ 1 cited
A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schrödinger equation
Long Lee, Gregory D. Lyng
We present the results of a numerical experiment inspired by the semiclassical (zero-dispersion) limit of the focusing nonlinear Schroedinger (NLS) equation. In particular, we focu…
nlin.SI2012★ 2 cited
The Gaussian semiclassical soliton ensemble and numerical methods for the focusing nonlinear Schrödinger equation
Long Lee, Gregory Lyng, Irena Vankova
We report on a number of careful numerical experiments motivated by the semiclassical (zero-dispersion, ε\downarrow 0) limit of the focusing nonlinear Schrödinger equation. Our exp…