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Unstable snoidal waves
Author(s) -
Natali Fábio
Publication year - 2010
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdq038
Subject(s) - instability , class (philosophy) , physics , wavelength , classical mechanics , mathematical analysis , mathematics , mathematical physics , mechanics , computer science , quantum mechanics , artificial intelligence
The present paper deals with results of orbital instability for a class of evolution equations which possess snoidal waves as solution. The periodic solutions obtained from our study tend to the classical kink wave solutions in the infinite wavelength scenario. The instability approach is based on the classical Grillakis, Shatah and Strauss’ theory and the new development obtained by Angulo and Natali, which establishes orbital instability results for a class of Korteweg–de Vries‐type equations.