Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation

DOI10.1016/0960-0779(91)90014-ZzbMath0749.35041MaRDI QIDQ1196471

K. L. Bekyarov, Christo I. Christov

Publication date: 14 December 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

localized solutionshigher-order equations

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)

Related Items (4)

Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method ⋮ Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions ⋮ On a sequence of higher-order wave equations ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms

Cites Work

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• Solitons from sine waves: Analytical and numerical methods for non- integrable solitary and cnoidal waves
• Spectral methods using rational basis functions on an infinite interval
• The orthogonal rational functions of Higgins and Christov and algebraically mapped Chebyshev polynomials
• A Fourier-Series Method for Solving Soliton Problems
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space

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