Second-order rogue wave breathers in the nonlinear Schrdinger equation with quadratic potential modulated by a spatially-varying diffraction coefficient. Academic Article uri icon


  • Nonlinear Schrdinger equation with simple quadratic potential modulated by a spatially-varying diffraction coefficient is investigated theoretically. Second-order rogue wave breather solutions of the model are constructed by using the similarity transformation. A modal quantum number is introduced, useful for classifying and controlling the solutions. From the solutions obtained, the behavior of second order Kuznetsov-Ma breathers (KMBs), Akhmediev breathers (ABs), and Peregrine solitons is analyzed in particular, by selecting different modulation frequencies and quantum modal parameter. We show how to generate interesting second order breathers and related hybrid rogue waves. The emergence of true rogue waves - single giant waves that are generated in the interaction of KMBs, ABs, and Peregrine solitons - is explicitly displayed in our analytical solutions.

published proceedings

  • Opt Express

author list (cited authors)

  • Zhong, W., Beli, M., & Zhang, Y.

citation count

  • 21

complete list of authors

  • Zhong, Wei-Ping||Belić, Milivoj||Zhang, Yiqi

publication date

  • February 2015