2011, Vol. 28(1): 10201-010201 DOI: 10.1088/0256-307X/28/1/010201 | ||
An Analysis of the Invariance and Conservation Laws of Some Classes of Nonlinear Ostrovsky Equations and Related Systems | ||
K. Fakhar1**, A. H. Kara2 | ||
1Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia 2School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, P Bag 3 Wits 2050, South Africa |
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收稿日期 2010-06-08 修回日期 1900-01-01 | ||
Supporting info | ||
[1] Gao A and Tian L 2009 Nonlinear Analysis: Real World Applications 10 2894 [2] Gillman O A, Grimshaw R and Stepanyants Y 1995 Studies in Applied Mathematics 95 115 [3] Göktas U and Hereman W 1998 Physica D 123 425 [4] Ibragimov N H 1985 Transformation Groups Applied to Mathematical Physics (Dordrecht: Reidel) [5] Kangalgil F and Ayaz F 2008 Phys. Lett. A 372(11) 1831 [6] Kara A H and Mahomed F M 2000 Int. J. Theor. Phys. 39 23 [7] Kara A H and Mahomed F M 2002 J. Nonlinear Math. Phys. 9 60 [8] Kara A H and Mahomed F M 2006 Nonlinear Dynamics 45 367 [9] Koröglu C and Özis T 2009 Computers and Mathematics with Applications 58 2142 [10] Olver P 1993 Application of Lie Groups to Differential Equations (New York: Springer) [11] Ostrovsky L 1978 Oceanology 18 119 [12] Ostrovsky L 2003 Phys. Fluids 15 2934 | ||