Universal Behavior of Modulationally Unstable Media
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Publication:4554904
DOI10.1137/17M1112765zbMath1403.35271arXiv1710.05068MaRDI QIDQ4554904
Stefano Trillo, Sitai Li, Gino Biondini, Dionyssios Mantzavinos
Publication date: 12 November 2018
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05068
Nonlinear waves in solid mechanics (74J30) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Integro-partial differential equations (35R09)
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Long-time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the presence of a discrete spectrum, Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz–Ladik lattices, Inverse scattering transformation for the \(N\)-component focusing nonlinear Schrödinger equation with nonzero boundary conditions, A Lagrangian approach to modulational instability in nonlocal nonlinear Kerr media, Inverse scattering transform for two-level systems with nonzero background, Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability, Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions, Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
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