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https://doi.org/10.1111/j.1467-9590.2012.00568.x

has been cited by the following article:

• TITLE: Peregrine Rogue Waves Generated by the Interaction and Degeneration of Soliton-Like Solutions: Derivative Nonlinear Schrödinger Equation

  AUTHORS: Haoqi Zhou, Shuwei Xu, Maohua Li

  KEYWORDS: Derivative Nonlinear Schrödinger Equation, Breather Solution, Phase Solution, Soliton-Like Solutions, Peregrine Rogue Waves, Darboux Transformation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 15, 2020

  ABSTRACT: We study the Peregrine rogue waves within the framework of Derivative Nonlinear Schrödinger equation, which is used to describe the propagation of Alfven waves in plasma physics and sub-picosecond or femtosecond pulses in nonlinear optics. The interaction and degeneration of two soliton-like solutions and its relations for the breather solution have been analyzed. The Peregrine rogue waves have been considered from the two kinds of formation processes: it can be generated through the limitation of the infinitely large period of the breather solutions, and it can be interpreted as the soliton-like solutions with different polarities. As a special example, a special Peregrine rogue wave is generated by a breather solution and phase solution, which is given by the trivial seed (zero solution).