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• W2891625871 abstract "In the present chapter, two numerical procedures to simulate the dynamics of generalized versions of the Ostrovsky equation are presented. First, a numerical method to approximate the corresponding periodic initial-value problem is introduced. The scheme consists of a spatial discretization based on Fourier collocation methods, which is justified by the presence of nonlocal terms. Due to the stiff character of the semidiscretization in space, the time integration is performed with a fourth-order, diagonally implicit Runge-Kutta method, which provides additional theoretical and computational properties. The second point treated in this chapter concerns the solitary-wave solutions of the equations. Their numerical generation is carried out by using a Petviashvili-type method, along with acceleration techniques. The resulting procedure is able to compute both classical and generalized solitary waves in an efficient way. The speed-amplitude relation and the asymptotic behaviour of the waves are studied from the computed profiles." @default.
• W2891625871 created "2018-09-27" @default.
• W2891625871 creator A5046552014 @default.
• W2891625871 date "2018-01-01" @default.
• W2891625871 modified "2023-09-27" @default.
• W2891625871 title "On the Numerical Approximation to Generalized Ostrovsky Equations: II" @default.
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• W2891625871 doi "https://doi.org/10.1007/978-3-319-66766-9_13" @default.
• W2891625871 hasPublicationYear "2018" @default.
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