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Approximate Solution of Forced Korteweg-de Vries Equation

Ong, Chee Tiong, and Mohd Nor Mohamad , and Shen, Samuel Shanpu, (2002) Approximate Solution of Forced Korteweg-de Vries Equation. Matematika, 18 (2). pp. 67-78. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200218201.pdf

Affiliations

Universiti Teknologi Malaysia, Dept. of Mathematics
Universiti Teknologi Malaysia, Dept. of Mathematics
University of Alberta, Canada. Dept. of Mathematical Sciences

Abstract

Several findings on forced solitons generated by the forced Kortewegde Vries equation (fKdV) are discussed in this paper. This equation has lost group symmetries due to the forcing term. The traditional group-theoretical approach can no longer generate analytic solution of solitons, because there are no infinitely many conservation laws. Approximate solution and numerical simulation seem to be the only way to solve fKdV equations. In this paper we show how approximate scheme can be used to solve the fKdV equation and generate uniform forced solitons. A detail derivation of the approximate solution was provided and various profiles of fKdV such as the depth of depression zone; hd, amplitude; as, speed; s and the period; Ts of generation of forced uniform solitons was given.

Item Type:Journal
Keywords:Forced soliton, uniform soliton, soliton collision and forced Korteweg de-Vries equation
Subjects:Q Science, Computer Science
ID Code:5687

[1] Camassa, R. and Wu, T.Y., “Stability of Forced Steady Solitary Waves”, Phil. Trans. Royal Society of London A 337,1991, pg 429-466.

[2] Lax, P.D, “Integrals of Nonlinear Equations of Evolution and Solitary Waves”, Comm. Pure Appl. Math, Vol 21,1968, Pg 467-490.

[3] Lee, S.J., Yates, G.T. and Wu, T.Y, “Experiments and analyses of upstream advancing solitary waves generated by moving disturbances”, J. Fluid Mech 199,1989, pg 569-593.

[4] Nouri, F.Z and Sloan, D.M., “A comparison of Fourier Pseudospectral Methods For The Solution of the Korteweg de Vries Equation”, Journal of Comp. Phys. 83,1989, pg 324.

[5] Ong, C.T., “Various Aspects of Solitons Interactions”, M.Sci. Thesis (Applied Mathematics), Universiti Teknologi Malaysia, 1993.

[6] Shen, S.S.P., Shen, B.,Ong, C.T.,and Xu, Z. T., “Collision of Uniform Soliton Trains in Asymmetric Systems”, DCDIS Series B: Applications & Algorithms, 9, 2002, pg 131-138.

[7] Redekopp, L.G. and You, Z., “Passage through resonance for forced Korteweg-de Vries equation”, Phys. Rev. Lett., 74,1995, pg 5158-5161.

[8] Shen, S.S.P., “A Course on Nonlinear Waves”, Kluwer,1993.

[9] Shen, S.S.P., Manohar, R.P. and Gong, L., “Stability of the lower cusped solitary waves”, Phys. Fluids, A 7,1995, pg 2507-2509.

[10] Shen, S.S.P., “Energy Distribution For Waves in Transcritical Flows Over a Bump”, Wave Motion 23,1996, pg 39-48.

[11] Zabusky, N.J. and Kruskal, M.D., “Intearction of “solitons” in a collisionles plasma and recurence of the initial states”, Phys. Rev. Lett., 15,1965, pg 240-243.

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