Connected kink states in nonlinear inhomogeneous media
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 115-128

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The equation $\phi_t=\epsilon^2\Delta\phi+H^2(x,y)\sin\phi$ is considered arising in liquid crystal physics. The kink formation and motion are studied. The relaxation times are calculated. It is shown that there are possible connected kink states. Parameters of these states are found for small $\epsilon$.
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     author = {N. M. Bessonov and S. A. Vakulenko},
     title = {Connected kink states in nonlinear inhomogeneous media},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {115--128},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a9/}
}
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N. M. Bessonov; S. A. Vakulenko. Connected kink states in nonlinear inhomogeneous media. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 115-128. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a9/