Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves

DOI10.1007/s11401-010-0617-0zbMath1204.35132OpenAlexW2078763516MaRDI QIDQ619643

Jerry L. Bona, Jean Claude Saut

Publication date: 25 January 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0617-0

zbMATH Keywords

nonlinear Schrödinger equationnonlinear dispersive equationsrogue wavesdispersive blow-uppropagation in optical cableswater wave equationsweak turbulence models

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Turbulence (76F99) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86)

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