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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Displaying similar documents to “A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations.”
Asymptotic theory for weakly nonlinear wave equations in semi-infinite domains.
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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...
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