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The realization of controllable three dimensional rogue waves in nonlinear inhomogeneous system

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  • Dai, Chao-Qing
  • Wang, Yue-Yue
  • Zhou, Guo-Quan

Abstract

We obtain self-similar first-order and second-order rogue wave solutions for the (3+1)-dimensional inhomogeneous nonlinear Schrödinger equation. Based on these solutions, we investigate the control and manipulation of rogue waves in the dispersion decreasing fibers with Logarithmic profile and Gaussian profile. Our results indicate that the propagation behaviors of rogue waves, such as fast excitation, sustainment and restraint, can be manipulated by modulating the relation between the maximum value of the effective propagation distance Zm and the parameter Z0 relating to the excited types of rogue wave. The comparison of the propagation behavior of rogue wave in the dispersion decreasing waveguides with Logarithmic profile, Gaussian profile and hyperbolic profile is also given.

Suggested Citation

  • Dai, Chao-Qing & Wang, Yue-Yue & Zhou, Guo-Quan, 2012. "The realization of controllable three dimensional rogue waves in nonlinear inhomogeneous system," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1291-1300.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:11:p:1291-1300
    DOI: 10.1016/j.chaos.2012.07.011
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    References listed on IDEAS

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    1. Brazhnyi, Valeriy A. & Pérez-García, Víctor M., 2011. "Stable multidimensional soliton stripes in two-component Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 381-389.
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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