Boussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy
R. A. Kraenkel, M. A. Manna, J. C. Montero, J. G. Pereira
Abstract
We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through the use of the Korteweg--de Vries hierarchy, we show that the solitary--wave of the Boussinesq equation is a solitary--wave satisfying simultaneously all equations of the Korteweg--de Vries hierarchy, each one in an appropriate slow time variable.
Create a lesson
Related papers
Pulse Shepherding and Multi-Channel Soliton Transmission in Bit-Parallel-Wavelength Optical Fiber Links
Yuri S. Kivshar, Elena A. Ostrovskaya
A Particle Model of Rolling Grain Ripples Under Waves
K. H. Andersen
Two-color multistep cascading and parametric soliton-induced waveguides
Yuri S. Kivshar, Andrey A. Sukhorukov, Solomon M. Saltiel
Pattern formation in inclined layer convection
Karen E. Daniels, Eberhard Bodenschatz
On the Properties of Two Pulses Propagating Simultaneously in Different Dispersion Regimes in a Nonlinear Planar Waveguide
Monika E. Pietrzyk
Formation and Pinch-off of Viscous Droplets in the Absence of Surface Tension: an Exact Result
Mark Mineev-Weinstein, Gary D. Doolen, John E. Pearson et al.