On the profiles of nonlinear geometric optics
J. L. Joly, G. Métivier, J. Rauch (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
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J. L. Joly, G. Métivier, J. Rauch (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Jean-Luc Joly, Guy Métivier, Jeff Rauch (1993)
Journées équations aux dérivées partielles
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Jean-Luc Joly, Guy Métivier, Jeff Rauch (1990)
Journées équations aux dérivées partielles
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Otto Liess (1989)
Journées équations aux dérivées partielles
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Rolf Leis (1992)
Banach Center Publications
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F. Rousset, N. Tzvetkov (2009)
Annales de l'I.H.P. Analyse non linéaire
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Samer Israwi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the Camassa-Holm equation) can be derived and justified [Constantin and Lannes, (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account variable bottom...
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...
Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
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