Geodesic
Boundary-value problem for two-dimensional elliptic sine-Gordon equation and it's application to the theory of stationary Josephson effect
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 53-62

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The boundary-value problem for the half-plane of elliptic sine-Gordon equation is solved by means of the inverse spectral transform. The applications of derived solutions to the theory of stationary Josephson effect are considered. 
@article{ZNSL_1990_180_a6,
     author = {E. S. Gutshabash and V. D. Lipovskii},
     title = {Boundary-value problem for two-dimensional elliptic {sine-Gordon} equation and it's application to the theory of stationary {Josephson} effect},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {180},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a6/}
}
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E. S. Gutshabash; V. D. Lipovskii. Boundary-value problem for two-dimensional elliptic sine-Gordon equation and it's application to the theory of stationary Josephson effect. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 53-62. http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a6/