Curvature driven complexity in the defocusing parametric nonlinear Schrödinger system
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Publication:6123643
DOI10.1007/S00332-024-10016-8arXiv2308.08635OpenAlexW4392243434MaRDI QIDQ6123643
Publication date: 6 April 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.08635
surface diffusionnormal velocityparametric nonlinear Schrödinger equationcurve lengtheningcurvature driven flow
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20)
Cites Work
- Stability of pulses on optical fibers with phase-sensitive amplifiers
- Spectral and dynamical stability of nonlinear waves
- Spectra of functionalized operators arising from hypersurfaces
- Patterns and interfaces in dissipative dynamics. With a foreword by Y. Pomeau
- Stability indices for constrained self-adjoint operators
- Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator
- Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators
- Geometric evolution of bilayers under the functionalized Cahn–Hilliard equation
- Curve lengthening via regularized motion against curvature from the strong FCH flow
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