Korteweg-deVries equation for longitudinal disturbances in coasting charged-particle beams

Physical Review Special Topics - Accelerators and Beams

Volumn 7, Issue 5, 2004, Pages 56-60

  Davidson, Ronald C ^a  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18244383037     PISSN: 10984402     EISSN: 10984402     Source Type: Journal    
DOI: 10.1103/PhysRevSTAB.7.054402     Document Type: Article

References (23)

1. R. C. Davidson and H. Qin, Physics of Intense Charged Particle Beams in High Energy Accelerators (World Scientific, Singapore, 2001), and references therein.
2. M. Reiser, Theory and Design of Charged Particle Beams (Wiley, New York, 1994).
3. A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (Wiley, New York, 1993).
4. See, for example, Proceedings of the 2001 Particle Accelerator Conference (IEEE Catalog No. OICH37268, 2001), pp. 1-4098.
5. I. Hofmann, Z. Naturforsch. A 37, 939 (1982).
6. O. Boine-Frankenheim, I. Hofmann, and G. Rumulo, Phys. Rev. Lett. 82, 3256 (1999).
7. I. Hofmann, Laser Part. Beams 3, 1 (1985).
8. L. K. Spentzouris, J.-F. Ostiguy, and P. L. Colestock, Phys. Rev. Lett. 76, 620 (1996).
9. R. Fedele, G. Miele, L. Palumbo, and V. G. Vaccaro, Phys. Lett. A 179, 407 (1993).
10. H. Schamel, Phys. Rev. Lett. 79, 2811 (1997).
11. H. Schamel and R. Fedele, Phys. Plasmas 7, 3421 (2000).
12. R. C. Davidson and E. A. Startsev, Phys. Rev. ST Accel. Beams 7, 024401 (2004).
13. R. C. Davidson, H. Qin, S. I. Tzenov, and E. A. Startsev, Phys. Rev. ST Accel. Beams 5, 084402 (2002).
14. R. C. Davidson, Methods in Nonlinear Plasma Theory (Academic Press, New York, 1972).
15. F. Hohl and M. R. Feix, Astrophys. J. 147, 1164 (1967).
16. K. V. Roberts and H. L. Berk, Phys. Rev. Lett. 19, 297 (1967).
17. D. J. Korteweg and G. deVries, Philos. Mag. 39, 422 (1895).
18. H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 966 (1966).
19. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
20. E. Ott and R. N. Sudan, Phys. Fluids 12, 2388 (1969).
21. See, for example, Methods in Nonlinear Plasma Theory (Ref. [14]), pp. 19-31.
22. V. I. Karpman, J. P. Lynov, P. Michelsen, H. L. Pecseli, J. Juul Rasmussen, and V. A. Turikov, Phys. Fluids 23, 1782 (1980).
23. J. J. Bisognano, in Proceedings of the 1996 European Particle Accelerator Conference, Sitges (IOP, Bristol, U.K., 1996), pp. 328-330