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首页> 外文期刊>Mathematical Problems in Engineering >(2 + 1)-Dimensional Coupled Model for Envelope Rossby Solitary Waves and Its Solutions as well as Chirp Effect
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(2 + 1)-Dimensional Coupled Model for Envelope Rossby Solitary Waves and Its Solutions as well as Chirp Effect

机译：包络罗斯比孤波的（2 +1）维耦合模型及其解和Chi效应

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摘要

Using the method of multiple scales and perturbation method, a set of coupled models describing the envelope Rossby solitary waves in (2 + 1)-dimensional condition are obtained, also can be called coupled NLS (CNLS) equations. Following this, based on trial function method, the solutions of the NLS equation are deduced. Moreover, the modulation instability of coupled envelope Rossby waves is studied. We can find that the stable feature of coupled envelope Rossby waves is decided by the value of S. Finally, learning from the concept of chirp in the optical soliton communication field, we study the chirp effect caused by nonlinearity and dispersion in the propagation of Rossby waves.
机译：利用多尺度法和微扰法，获得了描述（2 +1）维条件下包络罗斯比孤波的一组耦合模型，也可以称为耦合NLS（CNLS）方程。然后，基于试验函数法，推导了NLS方程的解。此外，研究了耦合包络罗斯比波的调制不稳定性。我们可以发现耦合包络罗斯比波的稳定特征是由S的值决定的。最后，从光孤子通信领域中的线性调频概念出发，研究了非线性和色散在线性调频中引起的线性调频效应。波浪。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第10期|1378740.1-1378740.12|共12页
  • 作者

    Chen Xin; Yang Hongwei; Guo Min; Yin Baoshu;

  • 作者单位

    Shandong Univ Sci & Technol, Qingdao 266590, Shandong, Peoples R China;

    Shandong Univ Sci & Technol, Qingdao 266590, Shandong, Peoples R China;

    Shandong Univ Sci & Technol, Qingdao 266590, Shandong, Peoples R China;

    Chinese Acad Sci, Inst Oceanol, Key Lab Ocean Circulat & Waves, Qingdao 266071, Peoples R China;

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