Stability of the Korteweg-de Vries solitary wave solution

View Related Documents

Journal Article
Soliton Perturbation Theory for the Compound KdV Equation
Anjan Biswas and Swapan Konar
International Journal of Theoretical Physics, 2007, Volume 46, Number 2, Pages 237-243
- Download PDF (135.0 KB)
Book Chapter
Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
M. Lakshmanan
2007, Tsunami and Nonlinear Waves, Part I, Pages 31-49
- Download PDF (823.3 KB)
Reference Work Entry
Solitons: Historical and Physical Introduction
François Marin
2009, Encyclopedia of Complexity and Systems Science, Part 19, Pages 8464-8479
- View HTML
Reference Work Entry
Solitons, Introduction to
Mohamed A. Helal
2009, Encyclopedia of Complexity and Systems Science, Part 19, Pages 8504-8506
- View HTML
Journal Article
The Modulational Instability for a Generalized Korteweg–de Vries Equation
Jared C. Bronski and Mathew A. Johnson
Archive for Rational Mechanics and Analysis, 2010, Volume 197, Number 2, Pages 357-400
- Download PDF (446.5 KB)
Journal Article
Nonlinear analysis and solitary waves for two superposed streaming electrified fluids of uniform depths with rigid boundaries
M. F. El-Sayed
Archive of Applied Mechanics, 2008, Volume 78, Number 9, Pages 663-685
- Download PDF (632.3 KB)
Book Chapter
Internal Solitary Waves
Roger Grimshaw
Topics in Environmental Fluid Mechanics, 1, Volume 3, Environmental Stratified Flows, Pages 1-27
- Download PDF (1.3 MB)
Book Chapter
Integrals of Nonlinear Equations of Evolution and Solitary Waves
Peter D. Lax
2005, Selected Papers Volume I, Part IV, Pages 366-389
- Download PDF (986.5 KB)
Reference Work Entry
Solitons, Introduction to
Mohamed A. Helal
2011, Mathematics of Complexity and Dynamical Systems, Pages 1601-1602
- Download PDF (305.5 KB)
- View HTML
Book Chapter
Solitary waves propagating over variable topography
Roger Grimshaw
2007, Tsunami and Nonlinear Waves, Part I, Pages 51-64
- Download PDF (229.7 KB)

Abstract

This paper considers the stability of the Korteweg-de Vries solitary wave solution with respect to infinitesmal disturbance. It is found that the Korteweg-de Vries solitary wave solution is unstable in the Liapunov sense.

Key words Korteweg-de Vries solitary wave solution - unstable - infinitesmal disturbance - Liapunov direct method

Communicated by Chien Wei-zang

Fulltext Preview

Image of the first page of the fulltext document

Frequently asked questions General info on journals and books Send us your feedback Impressum Contact us

SpringerLink

Stability of the Korteweg-de Vries solitary wave solution

View Related Documents

Abstract

Fulltext Preview