Chinese Journal of Quantum Electronics, Volume. 33, Issue 4, 506(2016)

Kink and anti-kink solitary waves and their existence conditions in high-order nonlinear microstructured solids

Naranmandula 1、* and Fang ZHANG2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    Based on one dimensional high-order nonlinear wave model, the possibility and existence condition of kink and anti-kink solitary waves in microstructured solids are analyzed with the qualitative analysis method of dynamic system. Analysis results show that the kink and anti-kink solitary waves can exist in high-order nonlinear and anomalous dispersion microstructured solids under appropriate conditions, and the existence conditions are given exactly. Influences of high-order microscale nonlinear effect on the kink and anti-kink solitary waves are analyzed with the numerical method. Results show that the kink and anti-kink solitary waves become more and more steep (or gentle) with the negative reinforcing (or positive reinforcing) of high-order microscale nonlinear effect, while their amplitudes remain unchanged.

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    Naranmandula, ZHANG Fang. Kink and anti-kink solitary waves and their existence conditions in high-order nonlinear microstructured solids[J]. Chinese Journal of Quantum Electronics, 2016, 33(4): 506

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    Paper Information

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    Received: Apr. 14, 2015

    Accepted: --

    Published Online: Oct. 24, 2016

    The Author Email: Naranmandula (nrmdltl@126.com)

    DOI:10.3969/j.issn.1007-5461. 2016.04.018

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