Santini Paolo Maria

Publications in Math-Net.Ru

1. The periodic $N$ breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties
   
   J. Phys. A, 57 (2024), 15208, 27 pp.
2. The finite-gap method and the periodic Cauchy problem for $(2+1)$-dimensional anomalous waves for the focusing Davey–Stewartson $2$ equation
   
   Uspekhi Mat. Nauk, 77:6(468) (2022),  77–108
3. The linear and nonlinear instability of the Akhmediev breather
   
   Nonlinearity, 34:12 (2021),  8331–8358
4. Effect of a small loss or gain in the periodic nonlinear Schrodinger anomalous wave dynamics
   
   Phys. Rev. E (3), 101:3 (2020), 32204, 32204 pp.
5. The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes
   
   Uspekhi Mat. Nauk, 74:2(446) (2019),  27–80
6. Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case
   
   TMF, 196:3 (2018),  404–418
7. An integral geometry lemma and its applications: The nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects
   
   TMF, 189:1 (2016),  59–68
8. Wave breaking in solutions of the dispersionless Kadomtsev–Petviashvili equation at a finite time
   
   TMF, 172:2 (2012),  275–284
9. A hierarchy of integrable partial differential equations in $2{+}1$ dimensions associated with one-parameter families of one-dimensional vector fields
   
   TMF, 152:1 (2007),  147–156
10. The Cauchy Problem on the Plane for the Dispersionless Kadomtsev–Petviashvili Equation
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 83:10 (2006),  534–538
11. Initial-Boundary Value Problems for Linear and Soliton PDEs
    
    TMF, 133:2 (2002),  184–201
12. On the initial-boundary value problems for soliton equations
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 74:10 (2001),  541–545