Exploring the Salerno model for rogue wave generation: a linear stability analysis beyond the DNLS and AL limits

DOI10.1007/s10773-023-05419-4zbMath1529.35467OpenAlexW4385381311MaRDI QIDQ6114923

Rama Gupta, Shivani Malhotra, Mishu Gupta

Publication date: 15 August 2023

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-023-05419-4

zbMATH Keywords

stabilityperturbationphase portraitslinearisationSalerno modelmathematical modelling of rogue waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Perturbations in context of PDEs (35B20) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Waves that appear from nowhere and disappear without a trace
• Exact first-order solutions of the nonlinear Schrödinger equation
• On the gauge equivalent structure of the discrete nonlinear Schrödinger equation
• Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems
• Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
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