On the instability of solitary waves solutions of the generalized Benjamin equation.
type: Item
instance of: scholarly article
title: On the instability of solitary waves solutions of the generalized Benjamin equation.
zbMATH Open document ID: 1038.35088
author: Jaime Angulo Pava
published in: Advances in Differential Equations
publication date: 2003-11-10T00:00:00Z
review text: The author studies the instability of solitary-wave solutions for a nonlinear evolution equation which is known as the generalized Benjamin equation. The author first reviews results about local and global well-posedness of the initial value problem associated with the generalized Benjamin equation, and then establishes spatial and time decay of the solitary wave solutions. Finally, the author presents the stability theory for the generalized Benjamin equation, and develops instability results for some Korteweg-de Vries type equations without requiring spectral conditions.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76E30
zbMATH DE Number: 2002523
zbMATH Keywords: generalized Benjamin equations
zbMATH Keywords: instability of solitary waves
zbMATH Keywords: Korteweg-de Vries type equations
reviewed by: Ömer Kavaklioglu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2002523