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Santini, Paolo Maria
Statistics Math-Net.Ru
Total publications: 12
Scientific articles: 12
Presentations: 7

Number of views:
This page:337
Abstract pages:4570
Full texts:1291
References:500
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https://www.mathnet.ru/eng/person20814
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/154365

Publications in Math-Net.Ru Citations
2024
1. F. Coppini, P. G. Grinevich, P. M. Santini, “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.  mathnet  isi  scopus 4
2022
2. P. G. Grinevich, P. M. Santini, “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  mathnet  mathscinet; Russian Math. Surveys, 77:6 (2022), 1029–1059  isi  scopus 4
2021
3. P. G. Grinevich, P. M. Santini, “The linear and nonlinear instability of the Akhmediev breather”, Nonlinearity, 34:12 (2021),  8331–8358  mathnet  mathscinet  isi  scopus 12
2020
4. F. Coppini, P. G. Grinevich, P. M. Santini, “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.  mathnet  mathscinet  isi  scopus 23
2019
5. P. G. Grinevich, P. M. Santini, “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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 74:2 (2019), 211–263  isi  scopus 26
2018
6. P. G. Grinevich, P. M. Santini, “Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case”, TMF, 196:3 (2018),  404–418  mathnet  mathscinet  elib; Theoret. and Math. Phys., 196:3 (2018), 1294–1306  isi  scopus 12
2016
7. P. G. Grinevich, P. M. Santini, “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  mathnet  mathscinet  elib; Theoret. and Math. Phys., 189:1 (2016), 1450–1458  isi  scopus 4
2012
8. S. V. Manakov, P. M. Santini, “Wave breaking in solutions of the dispersionless Kadomtsev–Petviashvili equation at a finite time”, TMF, 172:2 (2012),  275–284  mathnet  mathscinet  elib; Theoret. and Math. Phys., 172:2 (2012), 1118–1126  isi  elib  scopus 13
2007
9. S. V. Manakov, P. M. Santini, “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  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 152:1 (2007), 1004–1011  isi  scopus 46
2006
10. S. V. Manakov, P. M. Santini, “The Cauchy Problem on the Plane for the Dispersionless Kadomtsev–Petviashvili Equation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 83:10 (2006),  534–538  mathnet; JETP Letters, 83:10 (2006), 462–466  isi  scopus 65
2002
11. A. Degasperis, S. V. Manakov, P. M. Santini, “Initial-Boundary Value Problems for Linear and Soliton PDEs”, TMF, 133:2 (2002),  184–201  mathnet  mathscinet; Theoret. and Math. Phys., 133:2 (2002), 1475–1489  isi 23
2001
12. A. Degasperis, S. V. Manakov, P. M. Santini, “On the initial-boundary value problems for soliton equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:10 (2001),  541–545  mathnet; JETP Letters, 74:10 (2001), 481–485  scopus 21

Presentations in Math-Net.Ru
1. Periodic anomalous (rogue) waves in the Ablowitz- Ladik lattice and in the 2 + 1 dimensional Davey-Stewartson 2 equation
P. M. Santini
Constructive Methods of the Theory of Riemann Surfaces and Applications
November 13, 2023 12:00
2. The linear instability of the Akhmediev breather, the "missed" modes and the regular approach
P. G. Grinevich, P. M. Santini
Russian-Chinese Conference «Integrable Systems and Geometry»
December 20, 2021 13:10   
3. Towards an analytic description of periodic anomalous waves in nature via the focusing NLS model
P. M. Santini
International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov
September 22, 2021 17:30   
4. Effect of small loss or gain on the anomalous wave recurrence
P. G. Grinevich, P. M. Santini, F. Coppini
Steklov Mathematical Institute Seminar
February 18, 2021 16:00   
5. Towards an analytic description of periodic anomalous waves in nature via the focusing NLS model.
P. M. Santini
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
March 11, 2020 18:30
6. Inverse spectral transform for vector fields and dispersionless PDEs
P. M. Santini
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
February 29, 2012 18:30
7. Циклическое движение в плоскости комплексного времени: фракталы в одномерном нелинейном осцилляторе
P. G. Grinevich, P. M. Santini
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
October 4, 2006

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