On the solution of the nonlinear wave equation by the decomposition method.
Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
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Khader, M.M., Al-Bar, R.F. (2011)
Mathematical Problems in Engineering
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Osman, Frederick, Beech, Robert (2005)
Journal of Applied Mathematics and Decision Sciences
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Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Franco, Sebastião Romero, Farina, Leandro
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A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute...
Nedeljkov, M., Rajter, D. (2000)
Novi Sad Journal of Mathematics
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Liu, Xun, Tian, Lixin, Wu, Yuhai (2010)
Mathematical Problems in Engineering
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Anna Karczewska, Piotr Rozmej, Maciej Szczeciński, Bartosz Boguniewicz (2016)
International Journal of Applied Mathematics and Computer Science
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The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov-Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic...
Marinakis, V. (2010)
Advances in Mathematical Physics
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Zheng, Xuedong, Xia, Tiecheng, Zhang, Hongqing (2002)
Applied Mathematics E-Notes [electronic only]
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Zhang, Sheng, Xia, Tie-cheng (2008)
Applied Mathematics E-Notes [electronic only]
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Zedan, Hassan A., Monaquel, Shatha Jameel (2010)
Applied Mathematics E-Notes [electronic only]
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Bogdan Przeradzki, Katarzyna Szymańska-Dębowska (2014)
Banach Center Publications
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The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Karjanto, N., Tiong, K.M. (2011)
Journal of Applied Mathematics
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