Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method

DOI10.1016/j.amc.2014.05.076zbMath1336.65174OpenAlexW1992069991MaRDI QIDQ279897

Nectarios C. Papanicolaou, Marios A. Christou

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.076

zbMATH Keywords

Boussinesq equationsspectral methodsKawahara solitonssoliton interaction

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

On the role of nonlinearities in the Boussinesq-type wave equations

Cites Work

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• Dispersive blowup of solutions of generalized Korteweg-de Vries equations
• Non-integrable variants of Boussinesq equation with two solitons
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• Comparison of three spectral methods for the Benjamin-Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions
• On localization solutions of an equation governing Benard--Marangoni convection
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