Asymptotic stability of solitons of the gKdV equations with general nonlinearity
نویسندگان
چکیده
منابع مشابه
Asymptotic stability of solitons of the gKdV equations with general nonlinearity
with general C nonlinearity f . Under an explicit condition on f and c > 0, there exists a solution in the energy space H of (0.1) of the type u(t, x) = Qc(x − x0 − ct), called soliton. In this paper, under general assumptions on f and Qc, we prove that the family of soliton solutions around Qc is asymptotically stable in some local sense in H , i.e. if u(t) is close to Qc (for all t ≥ 0), then...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2007
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-007-0194-z