Share This Article:

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

Abstract Full-Text HTML Download Download as PDF (Size:174KB) PP. 1005-1010
DOI: 10.4236/am.2011.28139    4,750 Downloads   8,409 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

W. Qi and G. Lin, "Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 1005-1010. doi: 10.4236/am.2011.28139.

References

[1] M .Grillakis, J. Shatah and W. Strauss, “Stability Theory of Solitary Waves in the Presence of Symmetry, Ⅰ,” Journal of Functional Analysis, Vol. 74, No. 1, 1987, pp. 160-197. doi:10.1016/0022-1236(87)90044-9
[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.
[3] I. Fukuda and M. Tsumi, “On Coupled Klein-Gordon- Equations,” Journal of Applied Mathematics, Vol. 66, 1978, pp. 358-378.
[4] J. P. Albert and J. L. Bona, “Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth,” IMA Journal of Applied Mathematics, Vol. 46, No. 1-2, 1991, pp. 1-19. doi:10.1093/imamat/46.1-2.1
[5] M. Reed and B. Simon, “Methods of Modern Mathematical Physics: Fourier Analysis, Self-Adjointness,” Academic Press, Waltham, 1975.
[6] B. L. Guo and L. Chen, “Orbital Stability of Solitary Waves of the Long Wave-Short Wave Resonance Equations,” Mathematical Methods in the Applied Sciences, Vol. 21, No. 10, 1998, pp. 883-894.

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.