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University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 1, Pages 43–51 (Mi ivpnz613)  
Mathematics

On the mathematical model of the unsteady movement of water in the formation of the Kuban River

N. V. Vandinaa, V. A. Kozlovb, L. Zh. Palandzhyantsc

a Stavropol State University, Stavropol
b Armavir State Pedagogical University, Armavir
c Maykop State Technological University, Maykop
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Abstract: Riccati equation which has arisen from Saint-Venant equation system describing fluid motion in open channels is considered. The investigated equation is reduced to linear differential second-order equation, and then the methods of the theory of multiplicate integral are applied. The qualitative behavioral research of integral curves is constructed. Numerical methods confirm the received results.
Keywords: Saint-Venant equation system, Riccati equation, fundamental matrix, qualitative investigation, numerical methods.
Document Type: Article
UDC: 532.5.013
Language: Russian
Citation: N. V. Vandina, V. A. Kozlov, L. Zh. Palandzhyants, “On the mathematical model of the unsteady movement of water in the formation of the Kuban River”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1, 43–51
Citation in format AMSBIB
\Bibitem{VanKozPal10}
\by N.~V.~Vandina, V.~A.~Kozlov, L.~Zh.~Palandzhyants
\paper On the mathematical model of the unsteady movement of water in the formation of the Kuban River
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2010
\issue 1
\pages 43--51
\mathnet{http://mi.mathnet.ru/ivpnz613}
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