Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity

DOI10.1016/j.physd.2021.133033zbMath1491.76034OpenAlexW3197487345MaRDI QIDQ2077798

Yanyan Li

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.133033

zbMATH Keywords

cubic nonlinearityderivative nonlinear Schrödinger equationrogue wavebreathersecond-order dispersionFourier modecascading instabilitynonlinear wave profile evolution

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

The Fermi-Pasta-Ulam-Tsingou recurrence for discrete systems: cascading mechanism and machine learning for the Ablowitz-Ladik equation ⋮ Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation ⋮ Comparative study of rogue wave solutions for autonomous and non-autonomous saturable discrete nonlinear Schrödinger equation ⋮ Fermi-Pasta-Ulam-Tsingou recurrence in two-core optical fibers

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