Boundary-value problem for the two-dimensional elliptic sine-Gordon equation and its application to the theory of the stationary Josephson effect. (English. Russian original) Zbl 0792.35132
J. Math. Sci., New York 68, No. 2, 197-201 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 180, 53-62 (1990).
See the review in Zbl 0716.35076.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 82C70 | Transport processes in time-dependent statistical mechanics |
References:
| [1] | A. Barone and J. Paterno, The Josephson Effect. Physics and Application [Russian translation], Moscow (1984). |
| [2] | A. B. Borisov, G. G. Taluts, A. P. Tankeev, and G. V. Bezmaternykh, in: Current Problems in the Theory of Magnetism [in Russian], Kiev (1986), pp. 103-111. |
| [3] | J. M. Kosterlitz, J. Phys. C,7 1046 (1974). · doi:10.1088/0022-3719/7/6/005 |
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| [8] | V. D. Lipovskii and S. S. Nikulichev, Vestn. LGU Ser. Fiz. Khim., No. 4, 61-64 (1988). |
| [9] | L. A. Takhtadzhyan and L. D. Faddeev, Hamiltonian Approach in the Theory of Solitons [in Russian], Moscow (1986). · Zbl 0632.58003 |
| [10] | J. Ashkin and W. E. Lamb, Jr., Phys. Rev.64 159 (1943). · doi:10.1103/PhysRev.64.159 |
| [11] | F. Dyson, E. Montrol, M. Kac, and M. Fisher, in: Stability and Phase Transitions [Russian translation], Moscow (1973), pp. 164-244. |
| [12] | R. K. Dodd, J. C. Eilbeck, J. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations, Academic Press, New York (1982). |
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