Geometric numerical schemes for the KdV equation
From MaRDI portal
Publication:2840257
DOI10.1134/S0965542513020103zbMath1274.35322arXiv1205.1418MaRDI QIDQ2840257
Denys Dutykh, Marx Chhay, Francesco Fedele
Publication date: 17 July 2013
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.1418
Korteweg-de Vries equationHamiltonian structuresgeometric discretizationFourier-type pseudospectral methods
Related Items (15)
Partial differential systems with non-local nonlinearities: generation and solutions ⋮ Numerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow water ⋮ A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation ⋮ A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D ⋮ Serre-type Equations in Deep Water ⋮ On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ Numerical simulation of a solitonic gas in KdV and KdV-BBM equations ⋮ Numerical modeling of soliton turbulence within the focusing Gardner equation: rogue wave emergence ⋮ Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space ⋮ A conservative linear difference scheme for the 2D regularized long-wave equation ⋮ Physical informed memory networks for solving PDEs: implementation and applications ⋮ Comparison of modified ADM and classical finite difference method for some third-order and fifth-order KdV equations ⋮ A study on the (2 + 1)-dimensional KdV4 equation derived by using the KdV recursion operator ⋮ Numerical study of the generalised Klein-Gordon equations
This page was built for publication: Geometric numerical schemes for the KdV equation
