The design of conservative finite element discretisations for the vectorial modified KdV equation

DOI10.1016/j.apnum.2018.10.006zbMath1412.65143arXiv1710.03527OpenAlexW2962882430WikidataQ61307176 ScholiaQ61307176MaRDI QIDQ1728345

James Jackaman, Tristan Pryer, Georgios Papamikos

Publication date: 22 February 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03527

zbMATH Keywords

Hamiltonian PDEconservative finite element methodvectorial modified KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton solutions (35C08)

Related Items

Construction of invariant solutions and conservation laws to the \((2+1)\)-dimensional integrable coupling of the KdV equation ⋮ Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy ⋮ A hybrid numerical method for the KdV equation by finite difference and sinc collocation method ⋮ Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system ⋮ Conservative Galerkin methods for dispersive Hamiltonian problems ⋮ Dressing for a Vector Modified KdV Hierarchy

Uses Software

• PETSc
• Firedrake

Cites Work

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