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Controllable rogue waves in the nonautonomous nonlinear system with a linear potential

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Abstract

Based on the similarity transformation connected the nonautonomous nonlinear Schrödinger equation with the autonomous nonlinear Schrödinger equation, we firstly derive self-similar rogue wave solutions (rational solutions) for the nonautonomous nonlinear system with a linear potential. Then, we investigate the controllable behaviors of one-rogue wave, two-rogue wave and rogue wave triplets in a soliton control system. Our results demonstrate that the propagation behaviors of rogue waves, including postpone, sustainment, recurrence and annihilation, can be manipulated by choosing the relation between the maximum value of the effective propagation distance Z m and the parameter Z 0. Moreover, the excitation time of controllable rogue waves is decided by the parameter T 0.

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Authors and Affiliations

  1. School of Sciences, Zhejiang A&F University, Lin’an, Zhejiang, 311300, P.R. China

    C. Q. Dai

  2. School of Physical Science and Technology, Suzhou University, Suzhou, Jiangsu, 215006, P.R. China

    C. Q. Dai

  3. College of Physics and Electromechanical Engineering, Shaoguan University, Guangdong, 512005, P.R. China

    C. L. Zheng

  4. School of Science, Zhejiang Lishui University, Lishui, Zhejiang, 323000, P.R. China

    H. P. Zhu

Authors
  1. C. Q. Dai
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  2. C. L. Zheng
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  3. H. P. Zhu
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Correspondence to C. Q. Dai.

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Dai, C.Q., Zheng, C.L. & Zhu, H.P. Controllable rogue waves in the nonautonomous nonlinear system with a linear potential. Eur. Phys. J. D 66, 112 (2012). https://doi.org/10.1140/epjd/e2012-20718-0

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  • DOI: https://doi.org/10.1140/epjd/e2012-20718-0

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