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Mark J Ablowitz

TitleProfessor
InstitutionUniversity of Colorado Boulder
DepartmentApplied Mathematics
Phone303/492-5502
ORCID ORCID Icon0000-0001-5755-9217 Additional info

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    Publications listed below are automatically derived from MEDLINE/PubMed and other sources, which might result in incorrect or missing publications. Faculty can login to make corrections and additions.
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    1. Ablowitz MJ, Biondini G, Wang Q. Whitham modulation theory for the Kadomtsev- Petviashvili equation. Proc Math Phys Eng Sci. 2017 Aug; 473(2204):20160695. PMID: 28878550.
      View in: PubMed
    2. Horikis TP, Ablowitz MJ. Rogue waves in nonlocal media. Phys Rev E. 2017 Apr; 95(4-1):042211. PMID: 28505851.
      View in: PubMed
    3. Chong C, Kevrekidis PG, Ablowitz MJ, Ma YP. Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. Phys Rev E. 2016 Jan; 93(1):012909. PMID: 26871145.
      View in: PubMed
    4. Ablowitz MJ, Ma YP. Strong transmission and reflection of edge modes in bounded photonic graphene. Opt Lett. 2015 Oct 15; 40(20):4635-8. PMID: 26469582.
      View in: PubMed
    5. Song D, Paltoglou V, Liu S, Zhu Y, Gallardo D, Tang L, Xu J, Ablowitz M, Efremidis NK, Chen Z. Unveiling pseudospin and angular momentum in photonic graphene. Nat Commun. 2015 Feb 17; 6:6272. PMID: 25687645.
      View in: PubMed
    6. Ablowitz MJ, Musslimani ZH. Integrable discrete PT symmetric model. Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep; 90(3):032912. PMID: 25314509.
      View in: PubMed
    7. Ablowitz MJ, Baldwin DE. Dispersive shock wave interactions and asymptotics. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb; 87(2):022906. PMID: 23496590.
      View in: PubMed
    8. Ablowitz MJ, Musslimani ZH. Integrable nonlocal nonlinear Schrödinger equation. Phys Rev Lett. 2013 Feb 08; 110(6):064105. PMID: 23432249.
      View in: PubMed
    9. Ablowitz MJ, Baldwin DE. Nonlinear shallow ocean-wave soliton interactions on flat beaches. Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Sep; 86(3 Pt 2):036305. PMID: 23031011.
      View in: PubMed
    10. Ablowitz MJ, Zhu Y. Nonlinear diffraction in photonic graphene. Opt Lett. 2011 Oct 01; 36(19):3762-4. PMID: 21964089.
      View in: PubMed
    11. Ablowitz MJ, Horikis TP, Nixon SD, Frantzeskakis DJ. Dark solitons in mode-locked lasers. Opt Lett. 2011 Mar 15; 36(6):793-5. PMID: 21403685.
      View in: PubMed
    12. Ablowitz MJ, Baldwin DE, Hoefer MA. Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jul; 80(1 Pt 2):016603. PMID: 19658828.
      View in: PubMed
    13. Hoefer MA, Ablowitz MJ, Engels P. Piston dispersive shock wave problem. Phys Rev Lett. 2008 Feb 29; 100(8):084504. PMID: 18352629.
      View in: PubMed
    14. Ablowitz MJ, Ilan B, Schonbrun E, Piestun R. Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep; 74(3 Pt 2):035601. PMID: 17025698.
      View in: PubMed
    15. Ablowitz MJ, Ilan B, Cundiff ST. Noise-induced linewidth in frequency combs. Opt Lett. 2006 Jun 15; 31(12):1875-7. PMID: 16729100.
      View in: PubMed
    16. Ahrens CD, Ablowitz MJ, Docherty A, Sinkin OV, Grigoryan V, Menyuk CR. Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation. Opt Lett. 2006 Jan 01; 31(1):5-7. PMID: 16419859.
      View in: PubMed
    17. Hoefer MA, Ablowitz MJ, Ilan B, Pufall MR, Silva TJ. Theory of magnetodynamics induced by spin torque in perpendicularly magnetized thin films. Phys Rev Lett. 2005 Dec 31; 95(26):267206. PMID: 16486396.
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    18. Sinkin OV, Grigoryan VS, Zweck J, Menyuk CR, Docherty A, Ablowitz M. Calculation, characterization, and application of the time shift function in wavelength-division-multiplexed return-to-zero systems. Opt Lett. 2005 Aug 15; 30(16):2056-8. PMID: 16127908.
      View in: PubMed
    19. Ablowitz MJ, Musslimani ZH. Spectral renormalization method for computing self-localized solutions to nonlinear systems. Opt Lett. 2005 Aug 15; 30(16):2140-2. PMID: 16127936.
      View in: PubMed
    20. Ablowitz MJ, Julien K, Musslimani ZH, Weinstein MI. Wave dynamics in optically modulated waveguide arrays. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 May; 71(5 Pt 2):055602. PMID: 16089594.
      View in: PubMed
    21. Ablowitz MJ, Ahrens C, Biondini G, Chakravarty S, Docherty A. Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic-group-delay dispersion compensation. Opt Lett. 2004 Oct 15; 29(20):2354-6. PMID: 15532265.
      View in: PubMed
    22. Ablowitz MJ, Ilan B, Cundiff ST. Carrier-envelope phase slip of ultrashort dispersion-managed solitons. Opt Lett. 2004 Aug 01; 29(15):1808-10. PMID: 15352377.
      View in: PubMed
    23. Ablowitz MJ, Moeser JT. Dispersion management for randomly varying optical fibers. Opt Lett. 2004 Apr 15; 29(8):821-3. PMID: 15119389.
      View in: PubMed
    24. Ablowitz MJ, Docherty A, Hirooka T. Incomplete collisions in strongly dispersion-managed return-to-zero communication systems. Opt Lett. 2003 Jul 15; 28(14):1191-3. PMID: 12885017.
      View in: PubMed
    25. Ablowitz MJ, Musslimani ZH. Dark and gray strong dispersion-managed solitons. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb; 67(2 Pt 2):025601. PMID: 12636737.
      View in: PubMed
    26. Ablowitz MJ, Musslimani ZH. Discrete vector spatial solitons in a nonlinear waveguide array. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May; 65(5 Pt 2):056618. PMID: 12059742.
      View in: PubMed
    27. Ablowitz MJ, Biondini G, Biswas A, Docherty A, Hirooka T, Chakravarty S. Collision-induced timing shifts in dispersion-managed soliton systems. Opt Lett. 2002 Mar 01; 27(5):318-20. PMID: 18007789.
      View in: PubMed
    28. Ablowitz MJ, Hirooka T. Intrachannel pulse interactions in dispersion-managed transmission systems: energy transfer. Opt Lett. 2002 Feb 01; 27(3):203-5. PMID: 18007756.
      View in: PubMed
    29. Ablowitz MJ, Musslimani ZH, Biondini G. Methods for discrete solitons in nonlinear lattices. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb; 65(2 Pt 2):026602. PMID: 11863673.
      View in: PubMed
    30. Ablowitz MJ, Hirooka T. Intrachannel pulse interactions in dispersion-managed transmission systems: timing shifts. Opt Lett. 2001 Dec 01; 26(23):1846-8. PMID: 18059713.
      View in: PubMed
    31. Ablowitz MJ, Musslimani ZH. Discrete diffraction managed spatial solitons. Phys Rev Lett. 2001 Dec 17; 87(25):254102. PMID: 11736579.
      View in: PubMed
    32. Ablowitz MJ, Hirooka T, Biondini G. Quasi-linear optical pulses in strongly dispersion-managed transmission systems. Opt Lett. 2001 Apr 01; 26(7):459-61. PMID: 18040353.
      View in: PubMed
    33. Ablowitz MJ, Biondini G, Blair S. Nonlinear Schrödinger equations with mean terms in nonresonant multidimensional quadratic materials. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr; 63(4 Pt 2):046605. PMID: 11308966.
      View in: PubMed
    34. Ablowitz MJ, Hirooka T. Resonant nonlinear intrachannel interactions in strongly dispersion-managed transmission systems. Opt Lett. 2000 Dec 15; 25(24):1750-2. PMID: 18066332.
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    35. Ablowitz MJ, Biondini G, Ostrovsky LA. Optical solitons: Perspectives and applications. Chaos. 2000 Sep; 10(3):471-474. PMID: 12779399.
      View in: PubMed
    36. Ablowitz MJ, Biondini G. Multiscale pulse dynamics in communication systems with strong dispersion management. Opt Lett. 1998 Nov 01; 23(21):1668-70. PMID: 18091878.
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    37. Ablowitz MJ, Biondini G, Chakravarty S, Jenkins RB, Sauer JR. Four-wave mixing in wavelength-division-multiplexed soliton systems: damping and amplification. Opt Lett. 1996 Oct 15; 21(20):1646-8. PMID: 19881754.
      View in: PubMed
    38. Jenkins RB, Sauer JR, Chakravarty S, Ablowitz MJ. Data-dependent timing jitter in wavelength-division-multiplexing soliton systems. Opt Lett. 1995 Oct 01; 20(19):1964-6. PMID: 19862218.
      View in: PubMed
    39. Chakravarty S, Ablowitz MJ, Sauer JR, Jenkins RB. Multisoliton interactions and wavelength-division multiplexing. Opt Lett. 1995 Jan 15; 20(2):136-8. PMID: 19859112.
      View in: PubMed
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