Interaction of Nonlinear Schrr Odinger Solitons with an External Potential
نویسندگان
چکیده
Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-d nonlinear Schrr odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering oo an interface separating two regions of constant potential. We nd that the soliton can break up into two solitons, eventually accompanied by radiation of non-solitary waves. Reeection coeecients and inelasticities are computed as functions of the height of the potential step and of its steepness.
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Nonlinear Schrr Odinger Solitons Scattering Oo an Interface
We integrate the one-dimensional nonlinear Schrr odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering oo an interface separating two regions of constant potential modeled by a linear ramp. Transmission coeecients and inelasticities are computed as functions of the potential diierence and the slope of the ramp. Our data show that the ram...
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The work presented in this Thesis is the result of close collaboration with several scientists, and the main part of the work has been published before in the articles 1{17], and the conference proceedings 18{26] or is going to be published 27]. The most important 13 articles 1{13] form the core of the Thesis. The Thesis consists of a review, the purpose of which is to relate the 13 articles an...
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