Geodesic
Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type
Serdica Mathematical Journal, Tome 29 (2003) no. 4, pp. 337-354.

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This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type. By applying the abstract results of Grillakis, Shatah and Strauss and detailed spectral analysis, we obtain the existence and stability of the solitary waves.
Keywords: Dispersive System, Solitary Waves, Stability 
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     author = {Hakkaev, Sevdzhan},
     title = {Stability and {Instability} of {Solitary} {Wave} {Solutions} of a {Nonlinear} {Dispersive} {System} of {Benjamin-Bona-Mahony} {Type}},
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Hakkaev, Sevdzhan. Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type. Serdica Mathematical Journal, Tome 29 (2003) no. 4, pp. 337-354. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_4_a2/