Fractal solutions of dispersive partial differential equations on the torus

DOI10.1007/s00029-019-0455-1zbMath1410.35197arXiv1803.00674OpenAlexW2962884984WikidataQ128422997 ScholiaQ128422997MaRDI QIDQ1725999

George Shakan, Mehmet Burak Erdogan

Publication date: 15 February 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00674

zbMATH Keywords

Korteweg-de Vries equationsSchrödingerBoussinesqAiryfractional Schrödingergravity and gravity-capillary water wave equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractals (28A80) Trigonometric and exponential sums (general theory) (11L03) Fractional partial differential equations (35R11)

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