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Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System

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  • Juan Carlos Muñoz Grajales

Abstract

We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system.

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  • Juan Carlos Muñoz Grajales, 2016. "Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-12, November.
    • Handle: RePEc:hin:jnijde:6930758
    DOI: 10.1155/2016/6930758
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