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Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations

DOI: 10.4236/am.2011.28139, PP. 1005-1010

Keywords: Solitary Waves, Stability, Klein-Gordon-Schrodinger Equations

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Abstract:

This paper concerns the orbital stability for exact solitary waves of the Generalized Klein-Gordon-Schrod-inger equations. Since the abstract results of Grillakis et al[1-2] can not be applied directly, we can extend the abstract stability theory and use the detailed spectral analysis to obtain the stability of the solitary waves.

References

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[2]  M. Grillakis, J. Shatah and W. Strauss, “Stability Theory of Solitary Waves in the Presence of Symmetry, Ⅱ,” Journal of Functional Analysis, Vol. 94, No. 2, 1990, pp. 308-348.
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