Quasi-periodic solutions for a nonlinear wave equation.
Jürgen Pöschel (1996)
Commentarii mathematici Helvetici
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Jürgen Pöschel (1996)
Commentarii mathematici Helvetici
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Martin Schechter (1979)
Commentarii mathematici Helvetici
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A.I. Bobenko, Sergej B. Kuksin (1995)
Commentarii mathematici Helvetici
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Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
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Marinakis, V. (2010)
Advances in Mathematical Physics
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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...
Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Stephen Smale (1980)
Commentarii mathematici Helvetici
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Aissa Guesmia (1998)
Annales Polonici Mathematici
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We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
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Mitsuhiro Nakao (1986)
Mathematische Zeitschrift
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J.Y. le Dimet (1992)
Commentarii mathematici Helvetici
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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.
Robert T. Glassey (1981)
Mathematische Zeitschrift
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