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• W1970490044 abstract "In this paper, we will study the Cauchy problem for the generalized KdV–Burgers–Kuramoto equation, which represents a dissipative, stroboscopic and unstable system in physics. When the initial data is a small disturbance of a rarefaction wave of the inviscid Burgers equation, we prove the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of the rarefaction wave. The analysis is based on a priori estimates and the L2-energy method." @default.
• W1970490044 created "2016-06-24" @default.
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• W1970490044 date "2008-01-01" @default.
• W1970490044 modified "2023-09-29" @default.
• W1970490044 title "Asymptotic stability of the rarefaction wave for the generalized KdV–Burgers–Kuramoto equation" @default.
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• W1970490044 doi "https://doi.org/10.1016/j.na.2006.11.006" @default.
• W1970490044 hasPublicationYear "2008" @default.
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