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- W2010438667 abstract "W. L. Briggs, A. C. Newell, and T. Sarie (J. Comput. Phys.51, 83 (1983)) have studied nonlinear instabilities in discretisations of the equation u1 + (u + U)ux = 0, where U is a constant. They demonstrated that solutions of leap-frog discretisations of this equation could be destabilised by a dynamical process which can localise noise on the spatial; grid. D. M. Sloan and A. R. Mitchell (J. Comput. Phys.67 (1986)) examined these instabilities by considering perturbations of the basic solution which take the form of side-band Fourier modes. Here this latter work is extended to cover analogous discretisations of the Korteweg-de Vries equation." @default.
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- W2010438667 date "1988-11-01" @default.
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- W2010438667 title "On modulational instabilities in discretisations of the Korteweg-de Vries equation" @default.
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- W2010438667 doi "https://doi.org/10.1016/0021-9991(88)90009-5" @default.
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