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51

Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach

Mark J. Ablowitz, Ziad H. Musslimani

Journal:

Physica D: Nonlinear Phenomena

Year:

2003

Language:

english

File:

PDF, 474 KB

english, 2003

52

Multi-dimensional pulse propagation in non-resonant χ(2) materials

Mark J. Ablowitz, Gino Biondini, Steve Blair

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 436 KB

english, 1997

53

On discretizations of the vector nonlinear Schrödinger equation

Mark J. Ablowitz, Yasuhiro Ohta, A. David Trubatch

Journal:

Physics Letters A

Year:

1999

Language:

english

File:

PDF, 1.22 MB

english, 1999

54

Localized multi-dimensional optical pulses in non-resonant quadratic materials

Mark J. Ablowitz, Gino Biondini, Steve Blair

Journal:

Mathematics and Computers in Simulation

Year:

2001

Language:

english

File:

PDF, 477 KB

english, 2001

55

Foreword

Thiab R Taha, Mark J Ablowitz, Gino Biondini, Yuji Kodama, Vladimir Zakharov

Journal:

Mathematics and Computers in Simulation

Year:

2001

Language:

english

File:

PDF, 26 KB

english, 2001

56

On integrability and chaos in discrete systems

Mark J. Ablowitz, Yasuhiro Ohta, A. David Trubatch

Journal:

Chaos, Solitons & Fractals

Year:

2000

Language:

english

File:

PDF, 144 KB

english, 2000

57

A self-dual Yang-Mills hierarchy and its reductions to integrable systems in 1+1 and 2+1 dimensions

Mark J. Ablowitz, Sarbarish Chakravarty, Leon A. Takhtajan

Journal:

Communications in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 1.28 MB

english, 1993

58

On the Discrete Spectrum of the Nonstationary Schrödinger Equation and Multipole Lumps of the Kadomtsev–Petviashvili I Equation

Javier Villarroel, Mark J. Ablowitz

Journal:

Communications in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 934 KB

english, 1999

59

Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation

B.M. Herbst, Mark J. Ablowitz, E. Ryan

Journal:

Computer Physics Communications

Year:

1991

Language:

english

File:

PDF, 427 KB

english, 1991

60

Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical

Thiab R Taha, Mark J Ablowitz

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 490 KB

english, 1984

61

A comparison between lumped and distributed filter models in wavelength-division multiplexed soliton systems

Mark J. Ablowitz, Gino Biondini, Sarbarish Chakravarty, Rudy Horne

Journal:

Optics Communications

Year:

1999

Language:

english

File:

PDF, 1020 KB

english, 1999

62

Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers

Mark J. Ablowitz, Theodoros P. Horikis, Sean D. Nixon, Yi Zhu

Journal:

Studies in Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 881 KB

english, 2009

63

Parameterizations of the Chazy Equation

Sarbarish Chakravarty, Mark J. Ablowitz

Journal:

Studies in Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 242 KB

english, 2010

64

On Tight-Binding Approximations in Optical Lattices

Mark J. Ablowitz, Christopher W. Curtis, Yi Zhu

Journal:

Studies in Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 704 KB

english, 2012

65

Interaction effects on wavelength-multiplexed soliton data packets

Benner, Alan F., Sauer, Jon R., Ablowitz, Mark J.

Journal:

Journal of the Optical Society of America B

Year:

1993

Language:

english

File:

PDF, 1.49 MB

english, 1993

66

Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons

Ablowitz, Mark J., Biondini, Gino, Olson, Eric S.

Journal:

Journal of the Optical Society of America B

Year:

2001

Language:

english

File:

PDF, 352 KB

english, 2001

67

Managing nonlinearity in strongly dispersion-managed optical pulse transmission

Ablowitz, Mark J., Hirooka, Toshihiko

Journal:

Journal of the Optical Society of America B

Year:

2002

Language:

english

File:

PDF, 284 KB

english, 2002

68

Higher-order asymptotic analysis of dispersion-managed transmission systems: solutions and their characteristics

Ablowitz, Mark J., Hirooka, Toshihiko, Inoue, Takashi

Journal:

Journal of the Optical Society of America B

Year:

2002

Language:

english

File:

PDF, 272 KB

english, 2002

69

Four-wave mixing in dispersion-managed return-to-zero systems

Ablowitz, Mark J., Biondini, Gino, Chakravarty, Sarbarish, Horne, Rudy L.

Journal:

Journal of the Optical Society of America B

Year:

2003

Language:

english

File:

PDF, 265 KB

english, 2003

70

Multiscale pulse dynamics in communication systems with strong dispersion management

Ablowitz, Mark J., Biondini, Gino

Journal:

Year:

1998

Language:

english

File:

PDF, 280 KB

english, 1998

71

Resonant nonlinear intrachannel interactions in strongly dispersion-managed transmission systems

Ablowitz, Mark J., Hirooka, Toshihiko

Journal:

Year:

2000

Language:

english

File:

PDF, 89 KB

english, 2000

72

Quasi-linear optical pulses in strongly dispersion-managed transmission systems

Ablowitz, Mark J., Hirooka, Toshihiko, Biondini, Gino

Journal:

Year:

2001

Language:

english

File:

PDF, 87 KB

english, 2001

73

Intrachannel pulse interactions in dispersion-managed transmission systems: timing shifts

Ablowitz, Mark J., Hirooka, Toshihiko

Journal:

Year:

2001

Language:

english

File:

PDF, 92 KB

english, 2001

74

Intrachannel pulse interactions in dispersion-managed transmission systems: energy transfer

Ablowitz, Mark J., Hirooka, Toshihiko

Journal:

Year:

2002

Language:

english

File:

PDF, 91 KB

english, 2002

75

Collision-induced timing shifts in dispersion-managed soliton systems

Ablowitz, Mark J., Biondini, Gino, Biswas, Anjan, Docherty, Andrew, Hirooka, Toshihiko, Chakravarty, Sarbarish

Journal:

Year:

2002

Language:

english

File:

PDF, 95 KB

english, 2002

76

Incomplete collisions in strongly dispersion-managed return-to-zero communication syst ems

Ablowitz, Mark J., Docherty, Andrew, Hirooka, Toshihiko

Journal:

Year:

2003

Language:

english

File:

PDF, 490 KB

english, 2003

77

Dispersion management for randomly varying optical fibers

Ablowitz, Mark J., Moeser, Jamison T.

Journal:

Year:

2004

Language:

english

File:

PDF, 501 KB

english, 2004

78

Carrier-envelope phase slip of ultrashort dispersion-managed solitons

Ablowitz, Mark J., Ilan, Boaz, Cundiff, Steven T.

Journal:

Year:

2004

Language:

english

File:

PDF, 260 KB

english, 2004

79

Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic-group-delay dispersion compensation

Ablowitz, Mark J., Ahrens, Cory, Biondini, Gino, Chakravarty, Sarbarish, Docherty, Andrew

Journal:

Year:

2004

Language:

english

File:

PDF, 324 KB

english, 2004

80

Calculation, characterization, and application of the time shift function in wavelength-division-multiplexed return-to-zero systems

Sinkin, Oleg V., Grigoryan, Vladimir S., Zweck, John, Menyuk, Curtis R., Docherty, Andrew, Ablowitz, Mark

Journal:

Year:

2005

Language:

english

File:

PDF, 79 KB

english, 2005

81

Spectral renormalization method for computing self-localized solutions to nonlinear systems

Ablowitz, Mark J., Musslimani, Ziad H.

Journal:

Year:

2005

Language:

english

File:

PDF, 177 KB

english, 2005

82

Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation

Ahrens, Cory D., Ablowitz, Mark J., Docherty, Andrew, Sinkin, Oleg V., Grigoryan, Vladimir, Menyuk, Curtis R.

Journal:

Year:

2006

Language:

english

File:

PDF, 76 KB

english, 2006

83

Dark solitons in mode-locked lasers

Ablowitz, Mark J., Horikis, Theodoros P., Nixon, Sean D., Frantzeskakis, Dimitri J.

Journal:

Year:

2011

Language:

english

File:

PDF, 359 KB

english, 2011

84

Nonlinear diffraction in photonic graphene

Ablowitz, Mark J., Zhu, Yi

Journal:

Year:

2011

Language:

english

File:

PDF, 426 KB

english, 2011

85

Nonlinear shallow ocean-wave soliton interactions on flat beaches

Ablowitz, Mark J., Baldwin, Douglas E.

Journal:

Physical Review E

Year:

2012

Language:

english

File:

PDF, 416 KB

english, 2012

86

Conical diffraction in honeycomb lattices

Ablowitz, Mark, Nixon, Sean, Zhu, Yi

Journal:

Physical Review A

Year:

2009

Language:

english

File:

PDF, 422 KB

english, 2009

87

Optical solitons: Perspectives and applications

Ablowitz, Mark J., Biondini, Gino, Ostrovsky, Lev A.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2000

Language:

english

File:

PDF, 656 KB

english, 2000

88

On the Discrete Spectrum of Systems in the Plane and the Davey--Stewartson II Equation

Villarroel, Javier, Ablowitz, Mark J.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2003

Language:

english

File:

PDF, 722 KB

english, 2003

89

Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type

Mark J. Ablowitz

Journal:

Physica D: Nonlinear Phenomena

Year:

1981

Language:

english

File:

PDF, 541 KB

english, 1981

90

Numerical Stochasticity, Hamiltonian Integrators, and the Nonlinear Schrödinger Equation

MARK J. ABLOWITZ, CONSTANCE SCHOBER

Journal:

Annals of the New York Academy of Sciences

Year:

1995

Language:

english

File:

PDF, 923 KB

english, 1995

91

Nonlinear Evolution Equations—Continuous and Discrete

Ablowitz, Mark J.

Journal:

Year:

1977

Language:

english

File:

PDF, 2.04 MB

english, 1977

92

A comparison between finite element methods and spectral methods as applied to bound state problems

Duff, Marc, Rabitz, Herschel, Askar, Attila, Cakmak, Ahmet, Ablowitz, Mark

Journal:

The Journal of Chemical Physics

Year:

1980

Language:

english

File:

PDF, 1.47 MB

english, 1980

93

Dispersive shock wave interactions and asymptotics

Ablowitz, Mark J., Baldwin, Douglas E.

Journal:

Physical Review E

Year:

2013

Language:

english

File:

PDF, 650 KB

english, 2013

94

Coherent pulse propagation, a dispersive, irreversible phenomenon

Ablowitz, Mark J.

Journal:

Journal of Mathematical Physics

Year:

1974

Language:

english

File:

PDF, 864 KB

english, 1974

95

Resonantly coupled nonlinear evolution equations

Ablowitz, Mark J.

Journal:

Journal of Mathematical Physics

Year:

1975

Language:

english

File:

PDF, 614 KB

english, 1975

96

Localized nonlinear edge states in honeycomb lattices

Ablowitz, Mark J., Curtis, Christopher W., Zhu, Yi

Journal:

Physical Review A

Year:

2013

Language:

english

File:

PDF, 1.52 MB

english, 2013

97

Solitons and the Inverse Scattering Transform || Front Matter

Ablowitz, Mark J., Segur, Harvey

Year:

1981

Language:

english

File:

PDF, 239 KB

english, 1981

98

Numerically induced chaos in the nonlinear Schrödinger equation

Herbst, B. M., Ablowitz, Mark J.

Journal:

Physical Review Letters

Year:

1989

Language:

english

File:

PDF, 192 KB

english, 1989

99

Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

Prinari, Barbara, Ablowitz, Mark J., Biondini, Gino

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 639 KB

english, 2006

100

Dynamics of Nonlinear and Dispersion Managed Solitons

Quraishi, Qudsia, Cundiff, Steven T., Ilan, Boaz, Ablowitz, Mark J.

Journal:

Physical Review Letters

Year:

2005

Language:

english

File:

PDF, 592 KB

english, 2005