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Instability of solitary wave solutions of a class of nonlinear dispersive systems

Author: Sevdzhan Hakkaev

In this paper the orbital stability and instability properties of solitary wave solutions of a class of nonlinear dispersive systems are studied. By applying the abstract results of Grillakis et al. ([11]), we obtain the stability of the solitary waves.

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Keywords: dispersive system, solitary waves, stability

2000 MSC: 35B35, 35B40, 35Q35