NDLI: The Korteweg-de Vries equation in a cylindrical pipe

Content Provider	Springer Nature Link
Author	Rukavishnikov, V. A. Tkachenko, O. P.
Copyright Year	2008
Abstract	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.
Starting Page	139
Ending Page	146
Page Count	8
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	48
Issue Number	1
e-ISSN	15556662
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-02-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonlinear waves hydroelastic vibration propagation in pipelines mathematical model Korteweg-de Vries equation numerical solution method Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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The Korteweg-de Vries equation in a cylindrical pipe