Dynamics of perturbations at the critical points between modulation instability and stability regimes

DOI10.1063/1.5093161zbMath1420.37106OpenAlexW2968169949WikidataQ93030994 ScholiaQ93030994MaRDI QIDQ5197569

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Publication date: 18 September 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5093161

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms ⋮ Mechanisms of stationary converted waves and their complexes in the multi-component AB system

Cites Work

• Modulation instability and periodic solutions of the nonlinear Schrödinger equation
• Modulation instability: The beginning
• Observation of rogue wave triplets in water waves
• Rogue wave spectra of the Sasa-Satsuma equation
• Sasa-Satsuma equation, unstable plane waves and heteroclinic connections
• Universal Nature of the Nonlinear Stage of Modulational Instability
• Water waves, nonlinear Schrödinger equations and their solutions
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• The Integrable Nature of Modulational Instability

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