Flora PEMPINELLI

Flora PEMPINELLI

Professore I Fascia (Ordinario/Straordinario)

Dipartimento di Matematica e Fisica "Ennio De Giorgi"

Ex Collegio Fiorini - Via per Arnesano - LECCE (LE)

Ufficio, Piano terra

Telefono +39 0832 29 7450

Curriculum Vitae

Biography

Born in Turin, Italy, August 31th.

Graduated in Physics (1964) and PhD in Nuclear Physics (1967) at University of Turin.

Full professor of Theoretical Physics at Salento University (former Lecce University).

Co-founder of the Physics Institute at the new born State University of Lecce (1988).

Local coordinator of the unit of Lecce of a series of scientific projects of national interest, first the so called 40% MPI projects and afterward the so called PRIN projects, founded by the National Research Ministry.

From March 2001 up to February 2007, scientific coordinator of the Theoretical Group of INFN, Section of Lecce and, as such, member of the INFN National Theoretical Commission.

Main organizer (with M. Boiti) of an international Workshop series on "Nonlinear Evolution Equations and Dynamical Systems" and afterward on "Nonlinear Physics. Theory and Experiment", held in Lecce and afterward in Gallipoli (Lecce) (1979-2008).

Co-founder and co-organizer of EINSTEIN (European Institute for Nonlinear Studies via Transnationally Extended INterchanges) Consortium. Its aim is to help the international collaborations between scientists working in the so-called non linear science, in particular developing Est-West exchanges. The planned tools are the organization of meetings and workshops and some programs of scientific exchanges for short and long times. The Consortium, founded at the end of September 1991, has the registered office in Lecce and the founding members are the Lecce University, the Rome I (La Sapienza) University and the Montpellier II University (FR). In 2006 a Memorandum of Understanding has been signed between Consortium EINSTEIN and the RFBR (Russian Foundation for Basic Research), Russian state agency, that supports the basic researches. In this framework two joined (two year) calls have been published for the years 2007-2008 and 2009-2010, open to Italian and Russian research institutions.
At present FP is a member of the Administrative Board of the Consortium.

Foreign stays for scientific collaborations: annual leaves in the academic years 1985-86 and 1991-92 and many other stays (1 or 2 months) in Montpellier (FR) at the Laboratoire de Physique-Mathematique; 1 month stay in China (Pechino, Shangai and Hefei) by invitation of the Chinese Academy of Sciences (1984); 15 day stay in Moscow and Leningrad by invitation of the Steklov Mathematical Institute (1988); 2,5 month stay, by invitation, in Cambridge (GB) at the Isaac Newton Institute for Mathematical Sciences (2001).

Scientific results have been communicated in 122 articles, all in English and mostly published in international Journals with referee. Most relevant among them:
1) Formulation of the gauge Backlund transform method and its extension to 2+1 dimensions;
2) Formulation of the "weak" Lax method and related discovery of new bidimensional soliton equations, some of them interesting for physical applications;
3) Discovery of the localized multidimensional solitons (dromions) for the Davey-Stewartson I and III equations;
4) Integrability on the line and semiline for a system related to Stimulated Raman Scattering (Ablowitz-Ladik spectral problem with nonanalytic dispersion relations);
5)Solution of a new resonant model and discovery of a topological soliton;
6) Formulation of the extended resolvent method and its use as a tool for studying the Kadomtsev-Petviashvili I and II equations when their solutions go to a constant at large distances along some directions in the plane.


 

Corso di Laurea magistrale in Fisica

Fisica dei Sistemi non Lineari (6 CFU) mod A e mod B

 

Dottorato in Fisica

Sistemi integrabili ( 3 CFD )

 

Pubblicazioni


Last 10 years publications

M. BOITI, PEMPINELLI F., POGREBKOV A K, PRINARI B (2009). Building an extended resolvent of the heat operator via twisting transformations. THEORETICAL AND MATHEMATICAL PHYSICS, vol. 159; p. 721-733, ISSN: 0040-5779

M. BOITI, PEMPINELLI F., A.K. POGREBKOV (2006). On the extended resolvent of the nonstationary Schrodinger operator for a Darboux transformed potential. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, vol. 39; p. 1877-1898, ISSN: 0305-4470

M. BOITI, PEMPINELLI F., A.K. POGREBKOV (2006). Scattering transform for the nonstationary Schrodinger equation with a bidimensionally perturbed N-soliton potential. JOURNAL OF MATHEMATICAL PHYSICS, vol. 47; p. 123510-1-123510-43, ISSN: 0022-2488

M. BOITI, PEMPINELLI F., A.K. POGREBKOV, B. PRINARI (2005). Spectral theory of the nonstationary Schrodinger equation with a two-dimensionally perturbed one-dimensional potential. THEORETICAL AND MATHEMATICAL PHYSICS, vol. 144; p. 1100-1116, ISSN: 0040-5779

M. BOITI, PEMPINELLI F., A.K. POGREBKOV, B. PRINARI (2005). Spectral theory of the nonstationary Schrodinger equation with a bidimensionally perturbed one-dimensional potential. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, vol. 251; p. 6-48, ISSN: 0081-5438

M. BOITI, PEMPINELLI F., J. LEON, A. SPIRE (2004). Resonant two-wave interaction in Davydov model. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, vol. 37; p. 4243-4265, ISSN: 0305-4470

BOITI M., BRUSCHI M., PEMPINELLI F., PRINARI B. (2003). A discrete Schrodinger spectral problem and associated evolution equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, vol. 36; p. 139-149, ISSN: 0305-4470

M.BOITI, PEMPINELLI F., A.K.POGREBKOV, B. PRINARI (2003). Extended resolvent and inverse scattering with an application to KPI. JOURNAL OF MATHEMATICAL PHYSICS, vol. 44; p. 3309-3340, ISSN: 0022-2488

BOITI M., PEMPINELLI F., PRINARI B., SPIRE A. (2002). Integrable discretization of the sine-Gordon equation. INVERSE PROBLEMS, vol. 18; p. 1309-1324, ISSN: 0266-5611

M. BOITI, PEMPINELLI F., POGREBKOV A. K., PRINARI B. (2002). Inverse scattering theory of the heat equation for a perturbed 1-soliton potential. JOURNAL OF MATHEMATICAL PHYSICS, vol. 43; p. 1044-1062, ISSN: 0022-2488

BOITI M., PEMPINELLI F., POGREBKOV A.K., PRINARI B. (2001). Towards an Inverse Scattering theory for non decaying potentials of the heat equation. INVERSE PROBLEMS, vol. 17; p. 937-957, ISSN: 0266-5611

M. BOITI, PEMPINELLI F., A.K. POGREBKOV, B. PRINARI (2001). Inverse scattering transform for the perturbed 1-soliton potential of the heat equation. PHYSICS LETTERS A, vol. 285; p. 307-311, ISSN: 0375-9601

M. BOITI, PEMPINELLI F., PRINARI B., SPIRE A. (2001). An integrable discretization of KdV at large times. INVERSE PROBLEMS, vol. 17; p. 515-526, ISSN: 0266-5611

M. BOITI, J-G. CAPUTO, J.LEON, PEMPINELLI F. (2000). Raman solitons in transient SRS. INVERSE PROBLEMS, vol. 16; p. 303-314, ISSN: 0266-5611

MARIKHIN V.G., SHABAT A.B., BOITI M., PEMPINELLI F. (2000). Self-similar solutions of equations of Nonlinear Schrodinger type. , vol. 90; p. 553-561

BOITI M., LEON J., PEMPINELLI F. (1999). Solution of the boundary value problem for the integrable discrete SRS system on the semi-line. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, vol. A 32; p. 927-943, ISSN: 0305-4470

M. BOITI, PEMPINELLI F., A.K.POGREBKOV, B. PRINARI (1999). Backlund and Darboux transformations for the nonstationary Schroedinger equation. , vol. 226; p. 42-62
 

Temi di ricerca


Scientific results have been communicated in 122 articles, all in English and mostly published in international Journals with referee. Most relevant among them:
1) Formulation of the gauge Backlund transform method and its extension to 2+1 dimensions;
2) Formulation of the "weak" Lax method and related discovery of new bidimensional soliton equations, some of them interesting for physical applications;
3) Discovery of the localized multidimensional solitons (dromions) for the Davey-Stewartson I and III equations;
4) Integrability on the line and semiline for a system related to Stimulated Raman Scattering (Ablowitz-Ladik spectral problem with nonanalytic dispersion relations);
5)Solution of a new resonant model and discovery of a topological soliton;
6) Formulation of the extended resolvent method and its use as a tool for studying the Kadomtsev-Petviashvili I and II equations when their solutions go to a constant at large distances along some directions in the plane.