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Instability of Solitary Waves in Nonlinear Composite Media

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Abstract

In this paper, we investigate a class of Hamiltonian systems arising in nonlinear composite media. By detailed analysis and computation we obtain a decaying estimates on the semigroup and prove the orbital instability of two families of explicit solitary wave solutions (slow family in anisotropic case and solitary waves in isotropic case), which theoretically verify the related guess and numerical results.

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Authors and Affiliations

  1. Department of Mathematics, Capital Normal University, Beijing, 100037, China

    Ye Zhao

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  1. Ye Zhao
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Correspondence to Ye Zhao.

Additional information

Supported by the National Natural Science Foundation of China (No.10271082, No.10671131) and Beijing Natural Science Foundation (No.1052003).

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Zhao, Y. Instability of Solitary Waves in Nonlinear Composite Media. Acta Mathematicae Applicatae Sinica, English Series 23, 311–318 (2007). https://doi.org/10.1007/s10255-007-0373-4

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  • DOI: https://doi.org/10.1007/s10255-007-0373-4

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