Geodesic
Stability of negative solitary waves
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a174/}
}
TY  - JOUR
AU  - Kalisch, Henrik
AU  - Nguyen, Nguyet Thanh
TI  - Stability of negative solitary waves
JO  - Electronic Journal of Differential Equations
PY  - 2009
VL  - 2009
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a174/
LA  - en
ID  - EJDE_2009__2009__a174
ER  - 
%0 Journal Article
%A Kalisch, Henrik
%A Nguyen, Nguyet Thanh
%T Stability of negative solitary waves
%J Electronic Journal of Differential Equations
%D 2009
%V 2009
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a174/
%G en
%F EJDE_2009__2009__a174
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/