Soliton solutions of the two-dimensional Zakharov-Kuznetsov equation
type: Item
instance of: scholarly article
title: Soliton solutions of the two-dimensional Zakharov-Kuznetsov equation
zbMATH Open document ID: 0953.76028
author: V. I. Zhuk
author: S. P. Popov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: The authors consider a two-dimensional generalization of the Korteweg-de Vries equation that is different from the Kadomtsev-Petviashvili equation. The underlying assumptions are illustrated by analyzing nonlinear three-dimensional flow disturbances in two-dimensional free convection near a heated plate. Some analytical and numerical solutions are presented, and mechanisms of soliton formation and interaction are described.
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76D33
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1467860
zbMATH Keywords: soliton interaction
zbMATH Keywords: generalized Korteweg-de Vries equation
zbMATH Keywords: nonlinear three-dimensional flow disturbances
zbMATH Keywords: two-dimensional free convection
zbMATH Keywords: Novier-Stokes equations
zbMATH Keywords: heated plate
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467860