Abstract
This study reviews the Peregrine solitons appearing under the framework of a class of nonlinear Schrödinger equations describing the diverse nonlinear systems. The historical perspectives include the various analytical techniques developed for constructing the Peregrine soliton solutions, followed by the derivation of the general breather solution of the fundamental nonlinear Schrödinger equation through Darboux transformation. Subsequently, we collect all forms of nonlinear Schrödinger equations, involving systematically the effects of higher-order nonlinearity, inhomogeneity, external potentials, coupling, discontinuity, nonlocality, higher dimensionality, and nonlinear saturation in which Peregrine soliton solutions have been reported.
Original language | English |
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Article number | 596886 |
Journal | Frontiers in Physics |
Volume | 8 |
DOIs | |
Publication status | Published - Dec 3 2020 |
Keywords
- Peregrine solitons
- coupled and discrete nonlinear Schrödinger equation
- higher dimensional nonlinear Schrödinger equation
- higher order and inhomogeneous nonlinear Schrödinger equation
- nonlinear Schrödinger equation
- nonlocal nonlinear Schrödinger equation
- rogue waves
- saturable nonlinear Schrödinger equation
ASJC Scopus subject areas
- Biophysics
- Materials Science (miscellaneous)
- Mathematical Physics
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry