Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
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- 作者：J.E. Mací ; as-Dí ; az ; jemacias@correo.uaa.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Nonlinear supratransmission ; Space-fractional sine-Gordon equation ; Riesz fractional derivatives ; Numerical simulation
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：May 2017
- 年：2017
- 卷：46
- 期：Complete
- 页码：89-102
- 全文大小：3752 K
文摘
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The dynamics of a Riesz space-fractional sine-Gordon equation is investigated numerically.
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The system is perturbed harmonically at one end at a frequency in the forbidden band gap.
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A sudden increase in the amplitude of wave signals absorbed by the system is found above a critical amplitude.
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The presence of supratransmission in Riesz space-fractional sine-Gordon systems is established for the first time.