Gino Biondini's publications
This page lists articles in refereed journals, in reverse chronological order, as well as arXiv preprints,
with links to the full text.
It does not include chapters in books, refereed/unrefereed/invited conference proceedings, theses, editorial material etc.
The following links allow you to jump directly to:
preprints
 2018
 2017
 2016
 2015
 2014
 2013
 2012
 2011

 2010
 2009
 2008
 2007
 2006
 2005
 2004
 2003
 2002

 2001
 2000
 1999
 1998
 1997
 1996
Preprints

"Discrete and continuous coupled nonlinear integrable systems via the dressing method",
with Q. Wang,
arXiv:1810.07446 [nlin.si],
to appear in Stud. Appl. Math.

"Universal behavior of modulationally unstable media",
with S. Li, D. Mantzavinos and S. Trillo,
arXiv:1710.05068 [nlin.ps],
to appear in SIAM Review

"Boundary value problems for evolution partial differential equations with discontinuous data",
with T. Trogdon,
arXiv:1510.02033 [math.ap], to appear in AMS Quarterly Appl. Math.
Journal articles
2018:

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

"Automodulation versus breathers in the nonlinear stage of modulational instability",
with M. Conforti, S. Li and S. Trillo,
Opt. Lett. 43, 52915294 (2018)

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

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

"Darkbright 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 BoseEinstein condensates",
with S. Li and B. Prinari,
Phys. Rev. E 97, 022221 (2018)

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

"Imaginary eigenvalues of ZakharovShabat problems with nonzero background",
with X.D. Luo,
Phys. Lett. A 382, 2632 (2018)
2017:

"Longtime 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, 23002365 (2017)

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

"Whitham modulation theory for the twodimensional BenjaminOno equation",
with M. J. Ablowitz and Q. Wang,
Phys. Rev. E 96, 032225 (2017)

"Recurrence due to periodic multisoliton 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, 813817 (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 nonzero boundary conditions and double poles”
,
with M. Pichler,
IMA J. Appl. Math. 82, 131151 (2017)
2016:

"Experimental observation and theoretical description of multisoliton 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 threecomponent defocusing nonlinear Schrodinger equation with nonzero boundary conditions",
with D. K. Kraus and B. Prinari,
Commun. Math. Phys. 348, 475533 (2016)

"Small dispersion limit of the KortewegdeVries equation with periodic initial conditions and analytical description of the ZabuskyKruskal experiment”,
with G. Deng and S. Trillo,
Phys. D 333,
137147 (2016)

"The defocusing nonlinear Schrodinger equation with fully asymmetric nonzero boundary conditions”,
with E. Fagerstrom and B. Prinari,
Phys. D 333,
117136 (2016)
2015:

"The AblowitzLadik 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,
136163 (2015)

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

"Darkbright soliton solutions with nontrivial polarization interactions for the threecomponent 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 nonzero boundary conditions",
with G. Kovacic and D. Kraus,
Nonlinearity 28,
31013151 (2015)

"Inverse scattering transform for the defocusing Manakov system with nonzero boundary conditions",
with D. K. Kraus,
SIAM J. Math. Anal. 47,
607757 (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 nonzero boundary conditions",
with G. Kovacic,
J. Math. Phys.
55
031506 (2014)

"Hybrid hinge model for polarizationmode dispersion in installed optical fiber transmission systems",
with W. L. Kath, Z. Marzec and J. Schuster,
IEEE J. Lightwave Technol.
32
14121419 (2014)

"Detailed comparison of numerical methods for the perturbed sineGordon equation with impulsive forcing",
with J.H. Jung and D. Wang,
J. Eng. Math.
87,
167186 (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,
138159 (2014)
2013:
2012:
2011:
2010:

"On the soliton solutions of the twodimensional Toda lattice",
with D. Wang,
J. Phys. A
43,
434007: 120 (2010)

"Initialboundaryvalue problems for discrete linear evolution equations",
with D. Wang,
IMA J. Appl. Math.
75,
968997 (2010)

"Outage statistics in a waveplate hinge model of polarizationmode dispersion",
with W. L. Kath, H. Kogelnik and J. Li,
IEEE J. Lightwave Technol.
28,
19581968 (2010)

"The AblowitzLadik system on the natural numbers with certain linearizable boundary conditions",
with G. Hwang,
Applic. Anal.
89,
627644 (2010)

"Importance sampling for dispersionmanaged solitons",
with E.T. Spiller,
SIAM J. Appl. Dyn. Syst.
9,
432461 (2010)
2009:

"Solitons,
boundary value problems and a nonlinear method of images",
with G. Hwang,
J. Phys. A
42,
205207: 118 (2009)

"Soliton interactions of the KadomtsevPetviashvili equation and generation of largeamplitude waves",
with K.i. Maruno, M. Oikawa and H. Tsuji,
Stud. Appl. Math.
122,
377394 (2009)
[Erratum:
Stud. Appl. Math.
123,
375 (2009)]

"Phase noise of dispersionmanaged solitons",
with E.T. Spiller,
Phys. Rev. A
80,
011805:14 (2009)
2008:

"The dispersionmanaged GinzburgLandau equation and its application to femtosecond lasers",
Nonlinearity
21,
28492870 (2008)

"Initialboundaryvalue problems for discrete evolution equations: discrete linear Schrodinger and integrable discrete nonlinear Schrodinger equations",
with G. Hwang,
Inv. Probl.
24,
065011: 144 (2008)

"KadomtsevPetviashvili equation", [printable version]
with D. E. Pelinovsky,
Scholarpedia
3
653 (2008)

"A method for computing statistics of large noiseinduced perturbations of nonlinear Schrodinger solitons",
with W. L. Kath and R. O. Moore,
SIAM Rev.
50,
523549 (2008)

"An anisotropic hinge model for polarizationmode dispersion in installed fibers",
with W. L. Kath, H. Kogelnik and J. Li,
Opt. Lett.
33,
19241926 (2008)

"Noncompliant capacity ratio for systems with an arbitrary number of polarization hinges",
with H. Kogelnik, J. Li and P. J. Winzer,
IEEE J. Lightwave Technol.
26,
21102117 (2008)

"Statistics of polarizationmode dispersion emulators with unequal sections",
with W.L. Kath and B.R. Stone,
SIAM J. Appl. Math.
69,
552564 (2008)
2007:

"Line soliton interactions of the KadomtsevPetviashvili equation",
Phys. Rev. Lett.
99,
064103:14 (2007)

"Inverse scattering transform for the integrable discrete nonlinear Schrodinger equation with nonvanishing boundary conditions",
with M.J. Ablowitz and B. Prinari,
Inv. Probl.
23,
17111758 (2007)

"Noiseinduced perturbations of dispersionmanaged solitons",
with J. Li and E.T. Spiller,
Phys. Rev. A
75,
053818:113 (2007)

"A method to compute statistics of large, noiseinduced perturbations of nonlinear Schrodinger solitons",
with W.L. Kath and R.O. Moore,
SIAM J. Appl. Math.
67,
14181439 (2007)

"Elastic and inelastic linesoliton solutions of the KadomtsevPetviashvili II equation",
with S. Chakravarty,
Math. Comp. Simul.
74,
237250 (2007)
2006:
2005:
2004:

"Resonance and web structure in discrete soliton systems: the twodimensional Toda lattice and its fully discrete and ultradiscret versions",
with K.i. Maruno,
J. Phys. A
37,
1181911839 (2004)
[Erratum:
J. Phys. A
42,
029801 (2009)]

Reduction of collisioninduced timing shifts in dispersionmanaged quasilinear systems with periodicgroupdelay dispersion compensation",
with M.J. Ablowitz, C. Ahrens, S. Chakravarty and A. Docherty,
Opt. Lett.
29,
23542356 (2004)

"Applications of importance sampling to polarizationmode dispersion",
with W.L. Kath,
J. Opt. Fiber Commun. Rep.
1,
1431 (2004)

"Importance sampling for polarizationmode dispersion: Techniques and applications",
with W.L. Kath and C.R. Menyuk,
IEEE J. Lightwave Technol.
22,
12011215 (2004)
[Erratum:
IEEE J. Lightwave Technol.
24,
1065 (2006)]

"A comparative study of singlesection polarizationmode dispersion compensators",
with I.T. Lima, A.O. Lima,
C.R. Menyuk and W.L. Kath,
IEEE J. Lightwave Technol.
22,
10231032 (2004)

Polarizationmode dispersion emulation with Maxwellian length sections and importance sampling",
with W.L. Kath,
IEEE Photon. Technol. Lett.
16,
789791 (2004)
2003:

"On a family of solutions of the KadomtsevPetviashvili equation which also satisfy the Toda lattice hierarchy",
with Y. Kodama,
J. Phys. A
36,
1051910536 (2003)

"Importance sampling for noiseinduced amplitude and timing jitter in soliton transmission systems",
with W.L. Kath and R.O. Moore,
Opt. Lett.
28,
105107 (2003)

"Fourwave mixing in dispersionmanaged returntozero systems",
with M.J. Ablowitz, S. Chakravarty and R.L. Horne,
J. Opt. Soc. Am. B
20,
831845 (2003)

"Statistical analysis of the performance of polarizationmode dispersion compensators using multiple importance sampling",
with W.L. Kath, A.O. Lima, I.T. Lima, B.S. Marks and C.R. Menyuk,
IEEE Photon. Technol. Lett.
15,
17161718 (2003)
2002:

"Multiple importance sampling for first and secondorder polarizationmode dispersion",
with S.L. Fogal and W.L. Kath,
IEEE Photon. Technol. Lett.
14,
17431746 (2002)
[Erratum:
IEEE Photon. Technol. Lett.
14,
1487 (2002)]

"Importance sampling for polarizationmode dispersion",
with W.L. Kath and C.R. Menyuk,
IEEE Photon. Technol. Lett.
14,
310312 (2002)

"Analysis of polarizationmode dispersion compensators using importance sampling",
with W.L. Kath, I.T. Lima, B.S. Marks and C.R. Menyuk,
IEEE Photon. Technol. Lett.
14
627629 (2002)

"Selfinduced thermal effects and modal competition of continuouswave optical parametric oscillators",
with R.O. Moore and W.L. Kath,
J. Opt. Soc. Am. B
19,
802811 (2002)

"Methods for discrete solitons in nonlinear lattices",
with M.J. Ablowitz and Z.H. Musslimani,
Phys. Rev. E
65,
026602: 14 (2002)

"Collisioninduced timing shifts in dispersionmanaged soliton systems",
with M.J. Ablowitz, A. Biswas, S. Chakravarty, A. Docherty and T. Hirooka,
Opt. Lett.
27,
318320 (2002)
2001:

"Nonlinear chirp of dispersionmanaged returntozero pulses",
with S. Chakravarty,
Opt. Lett.
26,
17611763 (2001)

"On quasilinear dispersionmanaged transmission systems",
with M.J. Ablowitz and T. Hirooka,
Opt. Lett.
26,
459461 (2001)

"Incomplete collisions of wavelengthdivision multiplexed dispersionmanaged solitons",
with M.J. Ablowitz and E.S. Olson,
J. Opt. Soc. Am. B
18,
577583 (2001)

"Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials",
with M.J. Ablowitz and S. Blair,
Phys. Rev. E
63,
046605: 115 (2001)

"Localized multidimensional optical pulses in nonresonant quadratic materials",
with M.J. Ablowitz and S. Blair,
Math. Comp. Simul.,
56,
511519 (2001)

"On the Burgers equation with moving boundary",
with S. De Lillo,
Phys. Lett. A
279,
194206 (2001)
2000:
1999:
1998:
1997:

"Multidimensional pulse propagation in nonresonant chi(2) materials",
with M.J. Ablowitz and S. Blair,
Phys. Lett. A
236,
520524 (1997)

"On the wellposedness of the Eckhaus equation",
with M.J. Ablowitz and S. De Lillo,
Phys. Lett. A
230,
319323 (1997)

"Fourwave mixing in wavelengthdivision multiplexed soliton systems: Ideal fibers",
with M.J. Ablowitz, S. Chakravarty, R.B. Jenkins and J. Sauer,
J. Opt. Soc. Am. B
14,
17881794 (1997)
1996:
Fri Apr 22 2016 16:19:36 GMT0400 (EDT)
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