P. M. Santini

1. Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
   2004/10/21 by A. Doliwa, P. Grinevich, Doliwa, A. +5 · 2 citations
   Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
2. 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
3. A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
   2006/11/24 by S. V. Manakov, Manakov, S. V., P. M. Santini +1 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons
4. Numerical instability of the Akhmediev breather and a finite-gap model of it
   2017/07/30 by P. G. Grinevich, Grinevich, P. G., P. M. Santini +1 · 1 citation
   Mathematics · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods for differential equations #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)