Brenton John leMesurier

C. Sulem

J. J. Rasmussen

Jens Juul Rasmussen

L. Pitaevskii

P. L. Christiansen

Peter Leth Christiansen

Yuri B. Gaididei

The effect of attractive linear potentials on self-focusing in-waves modeled by a nonlinear Schrodinger equation is considered. It is shown that the attractive potential can prevent both singular collapse and dispersion that are generic in the cubic Schrodinger equation in the critical dimension 2 and can lead to a stable oscillating beam. This is observed to involve a splitting of the beam into an inner part that is oscillatory and of subcritical power and an outer dispersing part. An analysis is given in terms of the rate competition between the linear and nonlinear focusing effects, radiation losses, and known stable periodic behavior of certain solutions in the presence of attractive potentials

leMesurier, B.J.

Christiansen, Peter Leth

Gaididei, Yuri Borisovich

Juul Rasmussen, Jens

Online Research Database In Technology

Beam stabilization in the two-dimensional nonlinear Schrodinger equation with an attractive potential by beam splitting and radiation

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Beam stabilization in the two-dimensional nonlinear Schrödinger equation with an attractive potential by beam splitting and radiation

http://orbit.dtu.dk/ws/files/4780176/Leth.pdf

Beam stabilization in the two-dimensional nonlinear Schrodinger equation with an attractive potential by beam splitting and radiation

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Online Research Database In Technology

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