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Stability/instability of solitary waves with nonzero asymptotic value for a PDE in microstructural solid materials

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Abstract

The present paper deals with results of stability/instability of solitary waves with nonzero asymptotic value for a microstructure PDE. By the exact solitary wave solutions and detailed computations, we set up the explicit expression for the discrimination d″(c). Finally, a complete study of orbital stablity/instablity for the explicit exact solutions is given.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Beijing Institute of Petrolchemical Technology, Beijing, 102617, China

    Ye Zhao

  2. Department of Mathematics, Chaohu University, Anhui, 238000, China

    Miao-chao Chen

Authors
  1. Ye Zhao
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  2. Miao-chao Chen
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Corresponding author

Correspondence to Miao-chao Chen.

Additional information

Research is supported by Science Foundation of the Education Commission of Beijing (No. KM201210017008), National Natural Science Foundation of China under Grants (No. 61403034) and Youth Foundation of Beijing Institute of Petrolchemical Technology (No. N10-04).

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Zhao, Y., Chen, Mc. Stability/instability of solitary waves with nonzero asymptotic value for a PDE in microstructural solid materials. Acta Math. Appl. Sin. Engl. Ser. 31, 693–700 (2015). https://doi.org/10.1007/s10255-015-0494-0

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  • DOI: https://doi.org/10.1007/s10255-015-0494-0

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