Publicação: Short-wave instabilities in the Benjamin-Bona-Mahoney-Peregrine equation: theory and numerics
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Iop Publishing Ltd
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In this paper we discuss the nonlinear propagation of waves of short wavelength in dispersive systems. We propose a family of equations that is likely to describe the asymptotic behaviour of a large class of systems. We then restrict our attention to the analysis of the simplest nonlinear short-wave dynamics given by U-0 xi tau, = U-0 - 3(U-0)(2). We integrate numerically this equation for periodic and non-periodic boundary conditions, and we find that short waves may exist only if the amplitude of the initial profile is not too large.
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Inverse Problems. Bristol: Iop Publishing Ltd, v. 17, n. 4, p. 863-870, 2001.
