31. |
- Desaix, M., et al.
(författare)
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Nonlinear Schrödinger solitons with non-zero velocities emerging from real symmetric initial conditions
- 2008
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Ingår i: in Proceedings of SIAM Conference on Nonlinear Waves and Coherent Structures, July 21-24, 2008, Rome, Italy, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, USA. ; , s. 51-
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Konferensbidrag (refereegranskat)
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32. |
- Desaix, M., et al.
(författare)
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Nonlinear Schrödinger Solitons with non-zero velocities emerging from real symmetric initial conditions
- 2008
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Ingår i: AIP Conference Proceedings. - : AIP. - 1551-7616 .- 0094-243X. ; 1106, s. 299-303
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- Solutions of the nonlinear Schrodinger equation for initial conditions in the form of two separated sech-shaped in-phase pulses are analyzed. It is found that this initial condition, with appropriate amplitude, may give rise to, not only stationary solitons, but also to symmetrically separating soli- tons, if the initial distance of separation is large enough. The condition for the generation of a separating soliton pair is derived from the Zakharov-Shabat eigenvalue problem using a variational approach.
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36. |
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37. |
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38. |
- Fedele, R., et al.
(författare)
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How the coherent instabilities of an intense high energy charged particle beam in the presence of nonlocal effects can be explained within the context of the Madelung fluid description
- 2006
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Ingår i: European Physical Journal B. - : Springer Science and Business Media LLC. - 1434-6028 .- 1434-6036. ; B49:3, s. 275-281
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Tidskriftsartikel (refereegranskat)abstract
- A hydrodynamical description of coherent instabilities that take place in the longitudinal dynamics of a charged-particle coasting beam in a high-energy accelerating machine is presented. This is done within the framework of the Madelung fluid picture provided by the Thermal Wave Model. The well known coherent instability charts in the complex plane of the longitudinal coupling impedance for monochromatic beams are recovered. The results are also interpreted in terms of the deterministic approach to modulational instability analysis usually given for monochromatic large amplitude wave propagation governed by the nonlinear Schrodinger equation. The instability analysis is then extended to a non-monochromatic coasting beam with a given thermal equilibrium distribution, thought of as a statistical ensemble of monochromatic incoherent coasting beams ("white" beam). In this hydrodynamical framework, the phenomenon of Landau damping is predicted without using any kinetic equation governing the phase space evolution of the system.
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