Grinevich, P. G.

1. The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1
   2017/07/18 by P. G. Grinevich, P. M. Santini, Grinevich, P. G. +1 · 3 citations
   Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Mathematical Physics Problems
2. Closed curves in R³: a characterization in terms of curvature and torsion, the Hasimoto map and periodic solutions of the Filament Equation
   1997/03/26 by P. G. Grinevich, Grinevich, P. G., Martin Schmidt +1 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons
3. Numerical instability of the Akhmediev breather and a finite-gap model of it
   2017/07/30 by Grinevich, P. G., Santini, P. M. · 1 citation
   #Atmospheric and Oceanic Physics (physics.ao-ph) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
4. The finite gap method and the periodic Cauchy problem of 2+1 dimensional anomalous waves for the focusing Davey-Stewartson 2 equation
   2022/06/23 by Grinevich, P. G., Santini, P. M. · 2 citations
   #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
5. The periodic N breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties
   2023/08/23 by Coppini, F., Grinevich, P. G., Santini, P. M. · 1 citation
   #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)