Journal
CHINESE ANNALS OF MATHEMATICS SERIES B
Volume 39, Issue 1, Pages 145-162Publisher
SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
DOI: 10.1007/s11401-018-1057-5
Keywords
Multi-scale analysis; Modulation equation; Kuramoto-Shivashinsky equation; Ginzburg-Landau equation
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Funding
- Deanship of Scientific Research, University of Hail, KSA [0150258]
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The mani goal of tills paper is to approximate the Kuramoto-Shivashinsky (K-S for short) equation on an unbounded dornaiti hear a change of bifurcation, where a band of dominant pattern is changing stability. This leads to a slow modulation of the dominant pattern. Here We consider PDEs with quadratic nonlinearities and derive rigorously the modulation equation, which is called the Ginzburg-Landau (G-L, for short) equation, for the amplitudes of the dominating modes.
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