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Orbital stability of solitary waves of the long wave–short wave resonance equations
Author(s) -
Guo Boling,
Chen Lin
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980710)21:10<883::aid-mma974>3.0.co;2-b
Subject(s) - stability (learning theory) , mathematics , resonance (particle physics) , mathematical analysis , classical mechanics , physics , quantum mechanics , computer science , machine learning
This paper concerns the orbital stability for solitary waves of the Long Wave – Short Wave resonance equations. Since the abstract results of Grillakis et al . [7, 8] cannot be applied directly, we can extend the abstract stability theory and use the detailed spectral analysis to obtain the stability of the solitary waves. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.