Geodesic
Effect of the pipe curvature on internal elastic wave propagation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1988-1997 Cet article a éte moissonné depuis la source Math-Net.Ru

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A mathematical model of internal elastic wave propagation in a bent pipe is developed. For slightly bent pipes, a method is devised for reducing the equations to a lower dimension problem. It is shown that the wave dynamics are described by the Korteweg-de Vries and Klein–Gordon–Fock equations. Thus, the class of problems to which these equations apply is expanded. 
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V. A. Rukavishnikov; O. P. Tkachenko. Effect of the pipe curvature on internal elastic wave propagation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1988-1997. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a11/

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