Stability of traveling waves for a conserved field
The stability of traveling waves is investigated for a model describing the post threshold behavior beyond oscillatory instabilities for a class of systems with a conserved order parameter. Oscillatory instabilities and their post threshold behavior in systems with unconserved order parameters have been a central topic of nonlinear science during the recent decade. The most famous equation in this context is the Ginzburg-Landau equation with complex coefficients. Here I discuss a straight forward generalization of this Ginzburg-Landau equation which covers also spinodal decomposition and the crossover to an oscillatory instability for a globally conserved order parameter. Especially, the modification of the border to spatiotemporal chaos is considered, which is described by the so-called Benjamin-Feir resonance.
Year of publication: |
1997
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Authors: | Zimmermann, Walter |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 237.1997, 3, p. 405-412
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Publisher: |
Elsevier |
Saved in:
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