On the principal bifurcation branch of a third order nonlinear long-wave equation
Pattern Formation and Solitons
2009-11-11 v1
Abstract
We study the principal bifurcation curve of a third order equation which describes the nonlinear evolution of several systems with a long--wavelength instability. We show that the main bifurcation branch can be derived from a variational principle. This allows to obtain a close estimate of the complete branch. In particular, when the bifurcation is subcritical, the large amplitude stable branch can be found in a simple manner.
Keywords
Cite
@article{arxiv.nlin/0503026,
title = {On the principal bifurcation branch of a third order nonlinear long-wave equation},
author = {R. D. Benguria and M. C. Depassier},
journal= {arXiv preprint arXiv:nlin/0503026},
year = {2009}
}
Comments
11 pages, 3 figures