On the principal bifurcation branch of a third order nonlinear long-wave equation

Details On the principal bifurcation branch of a third order nonlinear long-wave equation On the principal bifurcation branch of a third order nonlinear long-wave equation

2005-03-10

arxiv.org/abs/nlin/0503026v1

J. Phys. A: Math. Gen. 38 (2005) 2043

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 3 figures

Scientific paper

10.1088/0305-4470/38/9/015

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.

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