Geodesic
The Korteweg–de Vries equation in a cylindrical pipe
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 146-153

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A mathematical model of nonlinear wave propagation in a pipeline is constructed. The Korteweg–de Vries equation is derived by determining asymptotic solutions and changing variables. A particular solution to the model equations is found that has the fluid velocity function in the form of a solitary wave. Thus, the class of nonlinear fluid dynamics problems described by the KdV equation is expanded. 
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     author = {V. A. Rukavishnikov and O. P. Tkachenko},
     title = {The {Korteweg{\textendash}de} {Vries} equation in a~cylindrical pipe},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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V. A. Rukavishnikov; O. P. Tkachenko. The Korteweg–de Vries equation in a cylindrical pipe. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 146-153. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a9/