• "Nonlinear stage of modulational instability in repulsive two-component Bose-Einstein condensates",
  S. Mossman, S.I. Mistakidis, G. C. Katsimiga, A. Romero-Ros, G. Biondini, P. Schmelcher, P. Engels, P. G. Kevrekidis
  arXiv:2412.17083 [cond-mat.quant-gas]

• "A regularized continuum model for the traveling waves and dispersive shock waves of the granular chain”,
  G. Biondini, C. Chong, P. G. Kevrekidis and S. Yang
  arXiv:2411.17874 [nlin.ps]

• “Mach reflection and expansion of two-dimensional dispersive shock waves”
  G. Biondini, A. Bivolcic and M. A. Hoefer
  arXiv:2411.05707 [nlin.ps]

• “On the coupled Maxwell-Bloch system of equations with non-decaying fields at infinity”
  S. Li, G. Biondini and G. Kovačič,
  arXiv:2405.10117 [nlin.si]

• "Inverse spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schrodinger equation with periodic boundary conditions"
  G. Biondini and Z. Zhang
  arXiv:2311.18127 [math.ap]

2025:

• “Two-dimensional stationary soliton gas”
  T. Bonnemain, G. Biondini, B. Doyon, G. Roberti and G. A. El
  Physical Review Research 7, 013143 (2025)

• “Breather gas fission from elliptic potentials in self-focusing media”
  G. Biondini, G. A. El, X.-D. Luo, J. Oregero and A. Tovbis
  Physical Review E 111, 014204 (2025)

2024:

• “Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening”
  G. Biondini, B. Prinari and Z. Zhang
  Adv. Nonlinear Anal. 13, 20240054 (2024)

• "On the Whitham modulation equations for the Toda lattice and the quantitative description of its dispersive shocks"
  G. Biondini, C. Chong and P. G. Kevrekidis
  Physica D 469, 134315 (2024)

• "Integrable approximations of dispersive shock waves of the granular chain"
  A. Giesler, C. Chong P. Kevrekidis and G. Biondini
  Wave Motion 130, 103352 (2024)

• "Inverse scattering transform for two-level systems with one-sided nonzero background"
  A. Abeya, G. Biondini, G. Kovacic and B. Prinari
  Communications in Mathematical Physics 405, 192 (2024)

• "Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates"
  A. Romero-Ros, G. C. Katsimiga, S. I. Mistakidis, S. Mossman, P. Schmelcher, G. Biondini, P. Engels and P. G. Kevrekidis
  Physical Review Letters 132, 033402 (2024)

• "Whitham modulation theory for the Zakharov-Kuznetsov equation and transverse stability of its periodic traveling wave solutions"
  G. Biondini and A. Chernyavsky
  Studies in Applied Mathematics 152, 596 (2024)

• "Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation"
  G. Biondini, A. J. Bivolcic, M. A. Hoefer and A. Moro
  Nonlinearity 37, 025012 (2024)

2023:

• "Elliptic finite-band potentials of a non-self-adjoint Dirac operator"
  G. Biondini, X.-D. Luo, J. Oregero and A. Tovbis
  Adv. Math. 429, 109188 (2023)

• "Whitham modulation theory for the nonlinear Schrodinger equation in two and three spatial dimensions"
  A. Abeya, G. Biondini and M. A. Hoefer
  J. Phys. A 56, 025701 (2023)

• "On the spectrum of the focusing Zakharov-Shabat operator with periodic potentials"
  G. Biondini, J. Oregero and A. Tovbis
  J. Spectral Theory 12, 939--992 (2022)
  [The journal volume lists the year as 2022, but the actual publication date of the issue was April 2023.]

2022:

• "p-star models, mean field random networks and the heat hierarchy"
  with A. Moro, B. Prinari and O. Senkevich
  Phys. Rev. E 105, 014306 (2022)

• "Soliton resonance and web structure in the Davey-Stewartson system"
  with D. Kireyev and K.-i. Maruno
  J. Phys. A 55, 305701 (2022)

• "On the periodic solutions of the Davey-Stewartson systems"
  with D. Kireyev
  East Asian J. Appl. Math. 12, 1 (2022)

• "Mach reflection, resonant line solitons and modulation theory"
  with M. A. Hoefer and S. Ryskamp
  Roy. Soc. Proc. A 478, 20210823 (2022)

• "Manakov system with parity symmetry on nonzero background and related boundary value problems"
  with A. Abeya and B. Prinari
  J. Phys. A 55, 254001 (2022)

• "Inverse scattering transform for the defocusing Manakov system with non-parallel boundary conditions at infinity"
  with A. Abeya and B. Prinari
  East Asian J. Appl. Math. 12, 715 (2022)

• "Realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates"
  with A. Romero-Ros, G. C. Katsmiga, S. I. Mistakidis, B. Prinari, P. Schmelcher and P. G. Kevrekidis
  Phys. Rev. A 105, 053306 (2022)

• "On-demand generation of dark-bright soliton trains in Bose-Einstein condensates"
  with A. Romero-Ros, G. C. Katsmiga, B. Prinari, P. Schmelcher and P. G. Kevrekidis
  Phys. Rev. A 105, 023325 (2022)

2021:

• "Soliton solutions and soliton interactions in repulsive spinor Bose-Einstein condensates"
  with A. Abeya, P.G. Kevrekidis and B. Prinari
  Eur. Phys. J. Plus 136, 1126 (2021)

• "Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation"
  with M. A. Hoefer and S. Ryskamp
  Nonlinearity 34, 3583 (2021)

• "Excitation of switching waves in normally dispersive Kerr cavities"
  with J. Lottes and S. Trillo
  Opt. Lett. 46, 2431 (2021)

• "Long-time asymptotics for the focusing nonlinear Schrodinger equation with non-zero boundary conditions in the presence of a discrete spectrum"
  with S. Li and D. Mantzavinos
  Commun. Math. Phys. 382, 1495 (2021)

• "Evolution of truncated and bent gravity wave solitons: the Mach expansion problem"
  with M. A. Hoefer, M. Maiden and S. Ryskamp
  J. Fluid Mech. 909, A24 (2021)

• "Inverse scattering transform for the focusing nonlinear Schrodinger equation with counterpropagating flows"
  with J. Lottes and D. Mantzavinos
  Stud. Appl. Math. 146, 371 (2021)

• "On-demand generation of of dark soliton trains in Bose-Einstein condensates"
  with A. Romero-Ros, G. C. Katsimiga, P. G. Kevrekidis, B. Prinari and P. Schmelcher
  Phys. Rev. A 103, 023329 (2021)

2020:

• "Semiclassical dynamics and coherent soliton condensates in self-focusing nonlinear media with periodic initial conditions"
  with J. Oregero
  Stud. Appl. Math. 145, 325 (2020)

• "Integrability, exact reductions and special solutions of the KP-Whitham equations"
  with M. A. Hoefer and A. Moro
  Nonlinearity 33, 4114 (2020)

• "Interactions of solitary waves in integrable and nonintegrable lattices"
  with G. Deng and S. Sen
  Chaos 30, 043101 (2020)

• "On the generation and propagation of solitary waves in integrable and non-integrable nonlinear lattices"
  with G. Deng, P. Kevrekidis and S. Sen
  Eur. J. Phys. Plus 135, 598 (2020)

• "Multiscale expansions and vector solitons of a two-dimensional nonlocal nonlinear Schrödinger system"
  with G. Koutsokostas, T. Horikis, D. Frantzeskakis and B. Prinari
  Stud. Appl. Math. 145, 739 (2020)

• "Transverse dynamics of vector solitons in defocusing nonlocal media"
  with G. Koutsokostas, T. Horikis, D. Frantzeskakis and B. Prinari
  Eur. Phys. J. Plus 135, 546 (2020)

2019:

• "Boundary value problems for evolution partial differential equations with discontinuous data"
  with T. Trogdon
  AMS Quarterly Appl. Math. 77, 689--726 (2019)

• "Nonlinear interactions between solitons and dispersive shocks in focusing media"
  with J. Lottes
  Phys. Rev. E 99, 022215 (2019)

• "Discrete and continuous coupled nonlinear integrable systems via the dressing method"
  with Q. Wang
  Stud. Appl. Math. 142, 139--161 (2019)

• "Inverse scattering transform for two-level systems with non-zero background"
  with I. Gabitov, G. Kovacic and S. Li
  J. Math. Phys. 60, 073510 (2019)

• “Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates”
  with K. Plaisier Leisman and G. Kovacic
  Phys. Lett. A 383, 494--503 (2019)

2018:

• "Universal behavior of modulationally unstable media"
  with S. Li, D. Mantzavinos and S. Trillo
  SIAM Review 60, 888-908 (2018)

• "Riemann problems and dispersive shocks in self-focusing media"
  Phys. Rev. E 98, 052220 (2018)

• "Soliton trapping, transmission and wake in modulationally unstable media"
  with S. Li and D. Mantzavinos
  Phys. Rev. E 98, 042211 (2018)

• "Auto-modulation versus breathers in the nonlinear stage of modulational instability"
  with M. Conforti, S. Li and S. Trillo
  Opt. Lett. 43, 5291--5294 (2018)

• “Soliton interactions and degenerate soliton complexes in focusing media with non-zero background”
  with S. Li
  Eur. Phys. J. Plus 133, 400 (2018)

• "Whitham modulation theory for (2+1)-dimensional equations of Kadomtsev-Petviashvili type"
  with M. J. Ablowitz and I. Rumanov
  J. Phys. A 51, 215501 (2018)

• "Dark-bright soliton pairs: bifurcations and collisions"
  with G. C. Katsimiga, P. G. Kevrekidis, B. Prinari, J. Stockhofe and P. Schmelcher
  Phys. Rev. A 97, 043623 (2018)

• "Solitons and rogue waves in spinor Bose-Einstein condensates"
  with S. Li and B. Prinari
  Phys. Rev. E 97, 022221 (2018)

• "Resonant optical pulses on a continuous wave background in two-level active media"
  with S. Li, G. Kovacic and I. Gabitov
  Europhys. Lett. 121, 20001 (2018)

• "Imaginary eigenvalues of Zakharov-Shabat problems with non-zero background"
  with X.-D. Luo
  Phys. Lett. A 382, 2632 (2018)

2017:

• "Long-time asymptotics for the focusing nonlinear Schrodinger equation with nonzero boundary conditions at infinity and asymptotic stage of modulational instability"
  with D. Mantzavinos
  Commun. Pure Appl. Math. 70, 2300--2365 (2017)

• "Whitham modulation theory for the Kadomtsev-Petviashvili equation"
  with M. J. Ablowitz and Q. Wang
  Roy. Soc. Proc. A 473, 20160695 (2017)
  [supplementary information]

• "Whitham modulation theory for the two-dimensional Benjamin-Ono equation"
  with M. J. Ablowitz and Q. Wang
  Phys. Rev. E 96, 032225 (2017)

• "Recurrence due to periodic multi-soliton fission in the defocusing nonlinear Schrodinger equation"
  with G. Deng, S. Li and S. Trillo
  Phys. Rev. E 96, 052213 (2017)

• "Gibbs phenomenon for dispersive PDEs"
  with T. Trogdon
  SIAM J. Appl. Math. 77, 813--817 (2017)

• "On the degenerate soliton solutions of the nonlinear Schrodinger equation”
  with S. Li and C. Schiebold
  J. Math. Phys. 58, 033507 (2017)

• "On the focusing nonlinear Schrodinger equation with non-zero boundary conditions and double poles”
  with M. Pichler
  IMA J. Appl. Math. 82, 131--151 (2017)

2016:

• "Experimental observation and theoretical description of multi-soliton fission in shallow water”
  with S. Trillo, G. Deng, M. Klein, A. Chabchoub and M. Onorato
  Phys. Rev. Lett. 117, 144102 (2016)
  [supplementary information]

• "Oscillation structure of localized perturbations of modulationally unstable media"
  with S. Li and D. Mantzavinos
  Phys. Rev. E 94, 060201R (2016)

• "Universal nature of the nonlinear stage of modulational instability"
  with D. Mantzavinos
  Phys. Rev. Lett. 116, 043902 (2016)
  [supplementary information]

• "The three-component defocusing nonlinear Schrodinger equation with nonzero boundary conditions"
  with D. K. Kraus and B. Prinari
  Commun. Math. Phys. 348, 475-533 (2016)

• "Small dispersion limit of the Korteweg-deVries equation with periodic initial conditions and analytical description of the Zabusky-Kruskal experiment”
  with G. Deng and S. Trillo
  Phys. D 333, 137-147 (2016)

• "The defocusing nonlinear Schrodinger equation with fully asymmetric non-zero boundary conditions”
  with E. Fagerstrom and B. Prinari
  Phys. D 333, 117-136 (2016)

2015:

• "The Ablowitz-Ladik system with linearizable boundary conditions"
  with A. Bui
  J. Phys. A 48, 375202 (2015)

• The integrable nature of modulational instability"
  with E. Fagerstrom
  SIAM J. Appl. Math. 75, 136-163 (2015)

• "Polarization interactions in multi-component defocusing media"
  with D. K. Kraus, B. Prinari and F. Vitale
  J. Phys. A 48, 395202 (2015)

• "Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrodinger equation with nonzero boundary conditions "
  with B. Prinari and F. Vitale
  J. Math. Phys. 56, 071505 (2015)

• "The focusing Manakov system with non-zero boundary conditions"
  with G. Kovacic and D. Kraus
  Nonlinearity 28, 3101-3151 (2015)

• "Inverse scattering transform for the defocusing Manakov system with non-zero boundary conditions"
  with D. K. Kraus
  SIAM J. Math. Anal. 47, 607-757 (2015)

• "Novel systems of resonant wave interaction"
  with Q. Wang
  J. Phys. A 48, 225203 (2015)

2014:

• Inverse scattering transform for the focusing nonlinear Schrodinger equation with non-zero boundary conditions"
  with G. Kovacic
  J. Math. Phys. 55, 031506 (2014)

• "Hybrid hinge model for polarization-mode dispersion in installed optical fiber transmission systems"
  with W. L. Kath, Z. Marzec and J. Schuster
  IEEE J. Lightwave Technol. 32 1412-1419 (2014)

• "Detailed comparison of numerical methods for the perturbed sine-Gordon equation with impulsive forcing"
  with J.-H. Jung and D. Wang
  J. Eng. Math. 87, 167-186 (2014)

• "On the spectrum of the Dirac operator and the existence of discrete eigenvalues for the defocusing nonlinear Schrodinger equation"
  with B. Prinari
  Stud. Appl. Math. 132, 138-159 (2014)

2013:

• "On the efficiency of importance sampling techniques for polarization-mode dispersion in optical fiber transmission systems"
  with Z. Marzec and J. Schuster
  SIAM J. Appl. Math., 73, 155-174 (2013)

2012:

• "On the nonlinear Schrodinger equation on the half line with homogeneous Robin boundary conditions"
  with A. Bui
  Stud. Appl. Math. 129, 249-271 (2012)

2011:

• "Inverse scattering transform for the multi-component nonlinear Schrodinger equation with nonzero boundary conditions"
  with B. Prinari and A. D. Trubatch
  Stud. Appl. Math. 126, 245-308 (2011)

2010:

• "On the soliton solutions of the two-dimensional Toda lattice"
  with D. Wang
  J. Phys. A 43, 434007: 1-20 (2010)

• "Initial-boundary-value problems for discrete linear evolution equations"
  with D. Wang
  IMA J. Appl. Math. 75, 968-997 (2010)

• "Outage statistics in a waveplate hinge model of polarization-mode dispersion"
  with W. L. Kath, H. Kogelnik and J. Li
  IEEE J. Lightwave Technol. 28, 1958--1968 (2010)

• "The Ablowitz-Ladik system on the natural numbers with certain linearizable boundary conditions"
  with G. Hwang
  Applic. Anal. 89, 627--644 (2010)

• "Importance sampling for dispersion-managed solitons"
  with E.T. Spiller
  SIAM J. Appl. Dyn. Syst. 9, 432--461 (2010)

2009:

• "Solitons, boundary value problems and a nonlinear method of images"
  with G. Hwang
  J. Phys. A 42, 205207: 1-18 (2009)

• "Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude waves"
  with K.-i. Maruno, M. Oikawa and H. Tsuji
  Stud. Appl. Math. 122, 377-394 (2009)
  [Erratum: Stud. Appl. Math. 123, 375 (2009)]

• "Phase noise of dispersion-managed solitons"
  with E.T. Spiller
  Phys. Rev. A 80, 011805:1-4 (2009)

2008: