Asymptotic theory for weakly nonlinear wave equations in semi-infinite domains.
Easwaran, Chirakkal V. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Easwaran, Chirakkal V. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Glasner, Karl (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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Li, Tong (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Navarro, Jaime, Warchall, Henry A. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karjanto, N., Tiong, K.M. (2011)
Journal of Applied Mathematics
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Khader, M.M., Al-Bar, R.F. (2011)
Mathematical Problems in Engineering
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de Groen, P.P.N., Karadzhov, G.E. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cavalcanti, Marcelo M., Domingos Cavalcanti, Valéria N., Soriano, Juan A. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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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...
Aizicovici, Sergiu, Gao, Yun, Wen, Shih-Liang (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Villarreal, F. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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