Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type


Autoria(s): Hakkaev, Sevdzhan
Data(s)

17/06/2012

17/06/2012

2003

Resumo

2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.

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.

Partially Supported by Grant MM-810/98 of MESC and by Scientefic Research Grant 19/12.03.2003 of Shumen University.

Identificador

Serdica Mathematical Journal, Vol. 29, No 4, (2003), 337p-354p

1310-6600

http://hdl.handle.net/10525/1716

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Dispersive System #Solitary Waves #Stability
Tipo

Article