Sinc collocation method for solving the Benjamin-Ono equation

DOI10.1155/2014/392962zbMath1303.65087OpenAlexW2126876943WikidataQ59050897 ScholiaQ59050897MaRDI QIDQ470642

Eben Maré, Edson Pindza

Publication date: 12 November 2014

Published in: Journal of Computational Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/392962

zbMATH Keywords

collocation methodsolitonBenjamin-Ono equationsinc basis function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

A Lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations ⋮ A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ A numerical approach for solving Volterra integral equation with proportional delay using sinc-collocation method ⋮ The use of improved-F expansion method for the time-fractional Benjamin-Ono equation

Cites Work

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• Comparison of three spectral methods for the Benjamin-Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions
• Algebraic Solitary Waves in Stratified Fluids
• Interaction of the Benjamin-Ono solitons
• Exact multi-soliton solution of the Benjamin-Ono equation
• A "Sinc-Galerkin" Method of Solution of Boundary Value Problems
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Computing the Hilbert Transform on the Real Line
• Internal waves of permanent form in fluids of great depth
• Sinc numerical solution for solitons and solitary waves
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