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A note on the stability for Kawahara–KdV type equations

✍ Scribed by Fábio Natali

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
301 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation

and the modified Kawahara-KdV equation

where γ i ∈ R is a positive number when i = 1, 2. The main approach used to determine the stability of solitary traveling waves will be the theory developed by Albert (1992) in [9].

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