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

Hakkaev, Sevdzhan. "Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type." Serdica Mathematical Journal 29.4 (2003): 337-354. <http://eudml.org/doc/219565>.

@article{Hakkaev2003,
abstract = {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.},
author = {Hakkaev, Sevdzhan},
journal = {Serdica Mathematical Journal},
keywords = {Dispersive System; Solitary Waves; Stability; orbital stability; solitary waves; coupled Benjamin-Bona-Mahony equations},
language = {eng},
number = {4},
pages = {337-354},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type},
url = {http://eudml.org/doc/219565},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Hakkaev, Sevdzhan
TI - Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 4
SP - 337
EP - 354
AB - 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.
LA - eng
KW - Dispersive System; Solitary Waves; Stability; orbital stability; solitary waves; coupled Benjamin-Bona-Mahony equations
UR - http://eudml.org/doc/219565
ER -