Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions

DOI10.1016/j.jcp.2011.10.004zbMath1408.65070OpenAlexW2030061134MaRDI QIDQ422941

Zhengjie Xu, John P. Boyd

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.10.004

zbMATH Keywords

pseudospectral methodsolitary wavesolitonBenjamin-Ono equationpseudospectralChristov orthogonal rational functionsrational basis functions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Particle methods and lattice-gas methods (76M28) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method ⋮ Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Chebyshev-Fourier spectral methods in bipolar coordinates ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ Numerical approximation of solitary waves of the Benjamin equation ⋮ Strongly nonlinear perturbation theory for solitary waves and bions

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