Low Temperature Physics: 30, 646 (2004); https://doi.org/10.1063/1.1789938 (15 pages)Физика Низких Температур: (
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Том 30, Выпуск 7-8 (Июль 2004), c. 856-873
## Topological solitons of the Lawrence-Doniach model as equilibrium Josephson vortices in layered superconductors
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Science of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine
We present a complete, exact solution of the problem of the magnetic properties of layered superconductors with an infinite number of superconducting layers in parallel fields < ∞ and their stability regions overlap. Soliton solutions exist for arbitrary small transverse dimensions of the system, provided the field H to be sufficiently high. Aside from their importance for weak superconductivity, the new soliton solutions can find applications in different fields of nonlinear physics and applied mathematics.HPACS:74.50.+r - Tunneling phenomena; point contacts, weak links, Josephson effects (for SQUIDs, see 85.25.Dq; for Josephson devices, see 85.25.Cp; for Josephson junction arrays, see 74.81.Fa) 74.80.Dm - 05.45.Yv - Solitons (see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq�in acoustics appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.0 |