Fourier splitting method for Kawahara type equations

DOI10.1155/2014/894956zbMath1303.65088OpenAlexW2157252829WikidataQ59052233 ScholiaQ59052233MaRDI QIDQ470647

Pablo U. Suárez, J. Héctor Morales

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/10.1155/2014/894956

zbMATH Keywords

algorithmexponential operator methodgeneralized Kawahara equationStrang's splitting method

Mathematics Subject Classification ID

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

Related Items (4)

Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods

Cites Work

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• Existence of perturbed solitary wave solutions to a model equation for water waves
• Solitary wave solution for the generalized Kawahara equation
• Error bounds for exponential operator splittings
• Numerical solutions of the Kawahara type equations using radial basis functions
• Numerical Study of Breakup in Generalized Korteweg–de Vries and Kawahara Equations
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations

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