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Connected kink states in nonlinear inhomogeneous media
N. M. Bessonov, S. A. Vakulenko
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Abstract:
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 $\epsilon$.
DOI:
https://doi.org/10.4213/tmf1142
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English version:
Theoretical and Mathematical Physics, 1996, 107:1, 511–522
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Received: 26.07.1995
Citation:
N. M. Bessonov, S. A. Vakulenko, “Connected kink states in nonlinear inhomogeneous media”, TMF, 107:1 (1996), 115–128; Theoret. and Math. Phys., 107:1 (1996), 511–522
Citation in format AMSBIB
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\paper Connected kink states in nonlinear inhomogeneous media
\jour TMF
\yr 1996
\vol 107
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\pages 115--128
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 1
\pages 511--522
\crossref{https://doi.org/10.1007/BF02071458}
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http://mi.mathnet.ru/eng/tmf1142https://doi.org/10.4213/tmf1142 http://mi.mathnet.ru/eng/tmf/v107/i1/p115
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