Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I
Otto Vejvoda (1964)
Czechoslovak Mathematical Journal
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Otto Vejvoda (1964)
Czechoslovak Mathematical Journal
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Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
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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...
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.
Marinakis, V. (2010)
Advances in Mathematical Physics
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Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
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Zheng, Xuedong, Xia, Tiecheng, Zhang, Hongqing (2002)
Applied Mathematics E-Notes [electronic only]
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Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Md. Nur Alam, Fethi Bin Muhammad Belgacem (2015)
Waves, Wavelets and Fractals
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In this paper we investigate the regularized long wave equation involving parameters by applying the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained in this manuscript may be imperative and significant for the explanation of some practical physical phenomena. The performance of this method is reliable, useful, and gives us more new exact solutions than the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion...