Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Feng, Bao-Feng, Kawahara, Takuji, Mitsui, Taketomo, Chan, Youn-Sha (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A finite element method for extended KdV equations”
Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Shoaling of nonlinear steady waves: maximum height and angle of breaking
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...
Numerical solution of Boussinesq equations as a model of interfacial-wave propagation.
Wiryanto, L.H. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Periodic and solitary wave solutions to the Fornberg-Whitham equation.
Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
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Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations
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.
Approximate method for studying the waves propagating along the interface between air-water.
Khader, M.M., Al-Bar, R.F. (2011)
Mathematical Problems in Engineering
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Waves and wave groups in deep water.
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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An optimal dimension of submerged parallel bars as a wave reflector.
Pudjaprasetya, S.R., Chendra, H.D. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Higher-order equations of the KdV type are integrable.
Marinakis, V. (2010)
Advances in Mathematical Physics
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Wave growth patterns in a nonlinear dispersive system with instability and dissipation.
Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics.
Zheng, Xuedong, Xia, Tiecheng, Zhang, Hongqing (2002)
Applied Mathematics E-Notes [electronic only]
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Multiplicity and structures for traveling wave solutions of the Kuramoto-Sivashinsky equation.
Feng, Bao-Feng (2004)
International Journal of Mathematics and Mathematical Sciences
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New exact traveling wave solutions of the ()-dimensional Zakharov-Kuznetsov (ZK) equation.
Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Numerical comparisons of two long-wave limit models
Stéphane Labbé, Lionel Paumond (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The Benney-Luke equation (BL) is a model for the evolution of three-dimensional weakly nonlinear, long water waves of small amplitude. In this paper we propose a nearly conservative scheme for the numerical resolution of (BL). Moreover, it is known (Paumond, Differential Integral Equations 16 (2003) 1039–1064; Pego and Quintero, Physica D 132 (1999) 476–496) that (BL) is linked to the Kadomtsev-Petviashvili equation for almost one-dimensional waves propagating in one direction. We study...