Barbara Prinari's publications

Monograph

M.J. Ablowitz, B. Prinari, A.D. Trubatch, Discrete and Continuous Nonlinear Schrödinger Systems, LMS Lecture Notes Series 302, Cambridge University Press (2004)

Editorial Activities

1. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari eds: Proceedings of the workshop “Nonlinear physics: theory and experiment. V”, published as special issues of Theor. Math. Phys. Vol. 159 issue 3 and Vol. 160 issue 1 (2009)
2. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari eds.: Proceedings of the workshop “Nonlinear physics: theory and experiment. IV”, published as a special issue of Theor. Math. Phys. Vol. 151 issues 1-3 (2007)
3. M. Boiti, F. Pempinelli A.K. Pogrebkov and B. Prinari eds: Proceedings of the workshop “Nonlinear physics: theory and experiment. III'', published as a special issue of Theor. Math. Phys. Vol. 144 issues 1 and 2 (2005)
4. G. Gaeta, B. Prinari, S. Rauch-Wojchiecowski, S. Terracini eds: “Symmetry and Perturbation Theory”, Proceedings of the International Conference SPT2004, World Scientific Pu.Co., Singapore (2005)
5. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari eds: “Nonlinear physics: theory and experiment. II'', World Scientific Pu.Co., Singapore (2003)
6. M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani eds: “Nonlinearity, Integrability and All That: TwentyYears After NEEDS’79”, World Scientific Pu.Co., Singapore (2000)

Journal Articles

1. G. Dean, T. Klotz, B. Prinari and F. Vitale, “Dark-dark and dark-bright soliton interactions in the two-component defocusing nonlinear Schrödinger equation”, to be published in Applic. Anal. (2011)
   Acceptance Letter
2. M. Lo Schiavo, B. Prinari and A.V. Serio, “Mathematical modeling of quality in a medical structure: a case study”, Math. Comp. Model., 54, 2087-2103 (2011)
3. B. Prinari, G. Biondini and A.D. Trubatch, “Inverse scattering transform for the multicomponent nonlinear Schrödinger equation with nonzero boundary conditions at infinity”, Stud. Appl. Math., Stud. App. Math. 126, pp. 254-302 (2011)
4. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “On the equivalence of different approaches for generating multisoliton solutions of the KPII equation”, Theor. Math. Phys. 165, 1237-1255 (2010)
5. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Building an extended resolvent for the heat operator via twisting transformations”, Theor. Math. Phys. 159 (3), 721-733 (2009)
6. M.J. Ablowitz and B. Prinari, “Nonlinear Schrödinger systems: continuous and discrete”, invited contribution to Scholarpedia (peer reviewed encyclopedia), Scholarpedia, 3(8):5561 (2008)
7. K-ichi Maruno and B. Prinari, “Determinant and Pfaffian solutions of the strong coupling limit of integrable discrete NLS systems”, Inv. Probl. 24 055011, 22 pp (2008)
8. M. Lo Schiavo, B. Prinari and A.V. Serio, “Analysing Quality with Generalized Kinetic Models”, Math. Comp. Model. 47 1150–1166 (2008)
9. M.J. Ablowitz, G. Biondini and B. Prinari, “Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with non-vanishing boundary conditions”, Inv. Probl. 23, 1711-1758 (2007)
10. B. Prinari, M.J. Ablowitz and G. Biondini, “Inverse scattering transform for the vector nonlinear Schrödinger equation with non-vanishing boundary conditions”, J. Math. Phys. 47, 063508, 33pp (2006)
11. M.J. Ablowitz, B. Prinari, “Nonlinear Schrödinger equations”, Encyclopedia of Mathematical Physics, Edts. J-P Francoise, F.G. Naber, T.S. Tsun, pp. 552-560 (2006)
12. M.J. Ablowitz, B. Prinari, A.D. Trubatch, “Discrete Vector Solitons: Composite Solitons, Yang– Baxter Maps and Computation”, Stud. App. Math. 116, pp. 97-133 (2006)
13. M. Boiti, F.Pempinelli, A.K. Pogrebkov and B. Prinari, “Spectral theory of the nonstationary Schrödinger equation with a bidimensionally perturbed one-dimensional potential”, Proc. Steklov Institute of Math. 251, pp. 6-48 (2005)
14. J. Villarroel, M.J. Ablowitz, and B. Prinari, “Solvability of the direct and inverse problems for the nonlinear Schrödinger equation”, Acta App. Math. 87, pp. 245-280 (2005)
15. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Spectral Theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential”, Theor. Math. Phys. 144, pp. 1100-1116 (2005)
16. M.J. Ablowitz, B. Prinari, A.D. Trubatch, “Integrable Nonlinear Schrödinger Systems and their Soliton Dynamics”, Dynamics of PDE  1, pp. 239-301 (2004)
17. M.J. Ablowitz, B. Prinari, A.D. Trubatch, “Soliton interactions in the vector NLS equation”, Inverse Problems 20, pp. 1217-1237 (2004)
18. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Extended resolvent and inverse scattering with an application to KPI”, J. Math. Phys. 44, pp. 3309-3340 (2003)
19. M. Boiti, M. Bruschi, F. Pempinelli and B. Prinari, “A discrete Schrödinger spectral problem and associated evolution equations”, J. Phys. A 36, pp. 139-149 (2003)
20. Boiti, F. Pempinelli, B. Prinari and A. Spire, “Integrable discretization of the sine-Gordon equation”, Inverse Problems 18, pp. 1309-1324 (2002)
21. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Inverse scattering theory of the heat equation for the perturbed 1-soliton potential”, J. Math. Phys. 43, pp. 1044-1062 (2002)
22. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari,  “Inverse scattering transform for the perturbed 1-soliton potential of the heat equation”, Physics Letters A 285, pp. 307-311 (2001)
23. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Towards an Inverse Scattering theory for nondecaying potentials of the heat equation”, Inv. Probl. 17, pp. 937-957 (2001)
24. M. Boiti, F. Pempinelli, B. Prinari and A. Spire,  “An integrable discretization of KdV at large times”, Inverse Problems 17, pp. 515-526 (2001)
25. B. Prinari, “On some nondecaying potentials and related Jost solutions for the heat conduction equation”, Inverse Problems, 16, pp. 589-603 (2000)
26. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari,  “Bäcklund and Darboux transformations for the nonstationary Schrödinger equation”, Proc. Steklov Institute of Math. 226, pp. 42-62 (1999)
27. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Towards an Inverse Scattering theory for bidimensional nondecaying potentials'', Theor. Math. Phys. 116, pp. 741-781 (1998)
    

Conference Proceedings

1. M. Boiti, F. Pempinelli, B. Prinari and A. Spire, “Discrete sine-Gordon equation”, in “Nonlinear physics: theory and experiment. II'', M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari eds, World Scientific Pu.Co., Singapore (2002) pp. 30-36
2. M. Ablowitz, B. Prinari, A.D. Trubatch, “On the IST for discrete nonlinear Schrödinger systems and polarization shift for discrete vector solitons”, in “Nonlinear physics: theory and experiment. II'', M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari eds, World Scientific Pu.Co., Singapore (2002) pp. 3-16
3. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Some non decaying potentials for the nonstationary Schrödinger equation,  in “Nonlinearity, Integrability and All That: Twenty Years After NEEDS'79”, M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani eds, World Scientific Pu.Co., Singapore, (2000) pp. 42-50
4. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Some non decaying potentials for the heat conduction equation”, in “Nonlinearity, Integrability and All That: Twenty Years After NEEDS'79”, M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani eds, World Scientific Pu.Co., Singapore, (2000) pp. 33-41
5. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “Wave soliton solutions on a generic background for KPI equation”,  CRM Proceedings and Lecture Notes vol. 25 (2000) pp. 47-52 (refereed)
6. M. Boiti, F. Pempinelli, A.K. Pogrebkov and B. Prinari, “N-waves soliton solution on a generic background for KPI equation”, Proceedings of the conference Day on Diffraction 99 - St. Petersburg (Russia) (1999) pp. 167-175 (refereed)