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

R. D. Benguria; M. C. Depassier

doi:10.1088/0305-4470/38/9/015

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

R. D. Benguria·M. C. Depassier

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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.

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R. D. Benguria, M. C. Depassier. 2005-03-10. On the principal bifurcation branch of a third order nonlinear long-wave equation. https://doi.org/10.1088/0305-4470%2F38%2F9%2F015

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