The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events
DOI10.1007/s00033-019-1223-yzbMath1433.35362arXiv1910.08425OpenAlexW3102122061MaRDI QIDQ2286270
K. Vetas, Georgios Fotopoulos, Nikos I. Karachalios, Vassilis Koukouloyannis
Publication date: 10 January 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08425
weighted Sobolev spacesrogue wavesPeregrine solitonalgebraic decaying estimatesdamped and driven nonlinear Schrödinger equationlocalized driver
Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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