Abstract
Solutions of the equations v x+v 3−tv+x=0 and v xx=v 3− tv+x, which describe the nucleation of domain walls occurring in the neighborhood of cusps of slowly varying equilibriums, are analyzed. Examples related to the diffusion in smoothly inhomogeneous media are considered.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 5, 2002, pp. 1093–1106.
Original Russian Text Copyright © 2002 by Sule\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)manov.
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Suleimanov, B.I. Cusp catastrophe in slowly varying equilibriums. J. Exp. Theor. Phys. 95, 944–956 (2002). https://doi.org/10.1134/1.1528687
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DOI: https://doi.org/10.1134/1.1528687