Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
type: Item
instance of: scholarly article
title: Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
zbMATH Open document ID: 1298.82065
published in: Physics Letters. A
publication date: 2014-11-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1312.1651
Mathematics Subject Classification ID: 82C80
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6368023
zbMATH Keywords: solitonic gas
zbMATH Keywords: KdV equation
zbMATH Keywords: BBM equation
zbMATH Keywords: statistical description
zbMATH Keywords: statistical moments
zbMATH Keywords: Stokes-Ursell number
describes a project that uses: Matlab
MaRDI profile type: Publication
OpenAlex ID: W2096999709
arXiv ID: 1312.1651
cites work: Q3925229
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Q4514936
cites work: A model for the two-way propagation of water waves in a channel
cites work: A computer study of finite-amplitude water waves
cites work: Reflection of a high-amplitude solitary wave at a vertical wall
cites work: Solitary water wave interactions
cites work: Geometric numerical schemes for the KdV equation
cites work: Finite volume methods for unidirectional dispersive wave models
cites work: Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
cites work: Kinetic equation for a soliton gas and Its hydrodynamic reductions
cites work: A Fourier method for solving nonlinear water-wave problems: application to solitary-wave interactions
cites work: Wave dynamics in nonlinear media with two dispersionless limits for long and short waves
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Random seas and design of maritime structures.
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Q5409277
cites work: The Korteweg-de Vries equation: a historical essay
cites work: Collisions between two solitary waves. Part 2. A numerical study
cites work: The Korteweg–deVries Equation: A Survey of Results
cites work: Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
cites work: Euler operators and conservation laws of the BBM equation
cites work: Q3583778
cites work: Numerical modeling of the KdV random wave field
cites work: Two-soliton interaction as an elementary act of soliton turbulence in integrable systems
cites work: On the long-time behaviour of soliton ensembles
cites work: Digital filters in adaptive time-stepping
cites work: Adaptive time-stepping and computational stability
cites work: On head-on collisions between two solitary waves
cites work: Spectral Methods in MATLAB
cites work: Q5823068
cites work: Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
cites work: Q3138759
DOI: 10.1016/J.PHYSLETA.2014.09.008
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author: Denys Dutykh
author: E. N. Pelinovsky
description: scientific article; zbMATH DE number 6368023