Conservative Interaction of N Internal Waves in Three Dimensions

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References

[1] Lamb, S.H. (1945) Hydrodynamics. 6th Edition, Dover Publications, New York.

[2] Pozrikidis, C. (2011) Introduction to Theoretical and Computational Fluid Dynamics. 2nd Edition, Oxford University Press, Oxford.

[3] Miroshnikov, V.A. (2005) The Boussinesq-Rayleigh Series for Two-Dimensional Flows Away from Boundaries. Applied Mathematics Research Express, 2005, 183-227.

http://dx.doi.org/10.1155/amrx.2005.183

[4] Korn, G.A. and Korn, T.A. (2000) Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. 2nd Revised Edition, Dover Publications, New York.

[5] Miroshnikov, V.A. (2014) Nonlinear Interaction of N Conservative Waves in Two Dimensions. American Journal of Computational Mathematics, 4, 127-142. http://dx.doi.org/10.4236/ajcm.2014.43012

[6] Miroshnikov, V.A. (1995) Solitary Wave on the Surface of a Shear Stream in Crossed Electric and Magnetic Fields: The Formation of a Single Vortex. Magnetohydrodynamics, 31, 149-165.

http://mhd.sal.lv/contents/1995/2/MG.31.2.5.R.html

[7] Miroshnikov, V.A. (1996) The Finite-Amplitude Solitary Wave on a Stream with Linear Vorticity. European Journal of Mechanics, B/Fluids, 15, 395-411.

[8] Miroshnikov, V.A. (2002) The Boussinesq-Rayleigh Approximation for Rotational Solitary Waves on Shallow Water with Uniform Vorticity. Journal of Fluid Mechanics, 456, 1-32.

http://dx.doi.org/10.1017/S0022112001007352

[9] Kochin, N.E., Kibel, I.A. and Roze, N.V. (1964) Theoretical Hydromechanics. John Wiley & Sons Ltd., Chichester.

[10] Miroshnikov, V.A. (2009) Spatiotemporal Cascades of Exposed and Hidden Perturbations of the Couette Flow. Advances and Applications in Fluid Dynamics, 6, 141-165.

http://www.pphmj.com/abstract/4402.htm

[11] Miroshnikov, V.A. (2012) Dual Perturbations of the Poiseuille-Hagen Flow in Invariant Elliptic Structures. Advances and Applications in Fluid Dynamics, 11, 1-58. http://www.pphmj.com/abstract/6711.htm

[12] Miroshnikov, V.A. (2014) Interaction of Two Pulsatory Waves of the Korteweg-de Vries Equation in a Zigzag Hyperbolic Structure. American Journal of Computational Mathematics, 4, 254-270.

http://dx.doi.org/10.4236/ajcm.2014.43022