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Ring-shaped exact Hopf solitons. (English) Zbl 1063.58015

Summary: The existence of ring-like structures in exact Hopfion solutions is shown.

MSC:

58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

References:

[1] DOI: 10.1098/rspa.1961.0018 · Zbl 0102.22605 · doi:10.1098/rspa.1961.0018
[2] DOI: 10.1063/1.1704233 · doi:10.1063/1.1704233
[3] DOI: 10.1016/0550-3213(76)90465-X · Zbl 0967.81515 · doi:10.1016/0550-3213(76)90465-X
[4] DOI: 10.1088/0305-4616/4/9/008 · doi:10.1088/0305-4616/4/9/008
[5] Kundu A., Ann. Phys. (N.Y.) 139 pp 36– (1982) · Zbl 0484.55006 · doi:10.1016/0003-4916(82)90004-5
[6] Aratyn H., Phys. Lett. B 456 pp 162– (1999) · doi:10.1103/PhysRevLett.83.1723
[7] Aratyn H., Phys. Rev. Lett. 83 pp 1723– (1999) · doi:10.1103/PhysRevLett.83.1723
[8] Alvarez O., Nucl. Phys. B 529 pp 689– (1998) · Zbl 0953.37018 · doi:10.1016/S0550-3213(98)00400-3
[9] Babelon O., J. High Energy Phys. 0211 pp 020– (2002) · doi:10.1088/1126-6708/2002/11/020
[10] DOI: 10.1063/1.529599 · Zbl 0760.58023 · doi:10.1063/1.529599
[11] DOI: 10.1016/0370-2693(85)90445-9 · doi:10.1016/0370-2693(85)90445-9
[12] DOI: 10.1016/0370-2693(85)90445-9 · doi:10.1016/0370-2693(85)90445-9
[13] Faddeev L., Nature (London) 387 pp 58– (1997) · doi:10.1038/387058a0
[14] Faddeev L., Phys. Lett. B 525 pp 195– (2001) · doi:10.1038/387058a0
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