Geodesic
Stability of negative solitary waves
Electronic journal of differential equations, Tome 2009 (2009)
The generalized regularized long-wave equation admits a family of negative solitary waves. We show that there is a critical wave speed dividing the range of stable and unstable negative solitary waves. Our proofs of stability and instability are based on a variant of the general theory by Grillakis, Shatah and Strauss.
Classification : 35Q53, 37C75
Keywords: solitary waves, orbital stability, instability 
@article{EJDE_2009__2009__a174,
     author = {Kalisch,  Henrik and Nguyen,  Nguyet Thanh},
     title = {Stability of negative solitary waves},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1183.35234},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a174/}
}
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%A Nguyen,  Nguyet Thanh
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Kalisch,  Henrik; Nguyen,  Nguyet Thanh. Stability of negative solitary waves. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a174/