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Article information
2008 , Volume 13, ¹ 4, p.114-126
Fedotova Z.I., Khakimzyanov G.S.
Nonlinear dispersive shallow water equations for a non-stationary bottom
A uniform derivation of the Green-Naghdi, Zheleznyak-Pelinovsky and Aleshkov nonlinear dispersive equations describing water surface waves is given for the case of a non-stationary bottom profile. It is shown, that the Green-Naghdi's and Zheleznyak-Pelinovsky's equations are just different forms of the second order approximation for the system of shallow water equations which accounts for a bottom deformation and movement.
[full text] Author(s):
Fedotova Zinaida Ivanovna
PhD.
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Lavrentiev ave. 6
Phone Office: (383) 334-91-21
E-mail: zf@ict.nsc.ru
Khakimzyanov Gayaz Salimovich
Dr. , Professor
Position: Leading research officer
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: khak@ict.nsc.ru
SPIN-code: 3144-0877
Bibliography link:
Fedotova Z.I., Khakimzyanov G.S. Nonlinear dispersive shallow water equations for a non-stationary bottom // Computational technologies. 2008. V. 13. ¹ 4. P. 114-126
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