Strong collapse turbulence in a quintic nonlinear Schrödinger equation

Chung, Yeojin; Lushnikov, Pavel M.

doi:10.1103/PhysRevE.84.036602

Title: Strong collapse turbulence in a quintic nonlinear Schrödinger equation

Authors:: Chung, Yeojin; Lushnikov, Pavel M.

Publication Date:: Wed Sep 14 00:00:00 EDT 2011

Sponsoring Org.:: USDOE

OSTI Identifier:: 1100756

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

Additional Journal Information:: Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Volume: 84 Journal Issue: 3; Journal ID: ISSN 1539-3755

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Chung, Yeojin, and Lushnikov, Pavel M. Strong collapse turbulence in a quintic nonlinear Schrödinger equation.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevE.84.036602.

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                    Chung, Yeojin, & Lushnikov, Pavel M. Strong collapse turbulence in a quintic nonlinear Schrödinger equation.  United States.  https://doi.org/10.1103/PhysRevE.84.036602

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                    Chung, Yeojin, and Lushnikov, Pavel M. Wed .  
"Strong collapse turbulence in a quintic nonlinear Schrödinger equation".  United States.  https://doi.org/10.1103/PhysRevE.84.036602.

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@article{osti_1100756,

  title        = {Strong collapse turbulence in a quintic nonlinear Schrödinger equation},

  author       = {Chung, Yeojin and Lushnikov, Pavel M.},

  abstractNote = {},

  doi          = {10.1103/PhysRevE.84.036602},

  journal      = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},

  number       = 3,

  volume       = 84,

  place        = {United States},

  year         = {Wed Sep 14 00:00:00 EDT 2011},

  month        = {Wed Sep 14 00:00:00 EDT 2011}

}

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Works referenced in this record:

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Title: Strong collapse turbulence in a quintic nonlinear Schrödinger equation

Citation Formats

Collapse in a forced three-dimensional nonlinear Schrödinger equation journal, October 2000

Nonlinearity management in a dispersion-managed system journal, January 2002

Pattern formation outside of equilibrium journal, July 1993

Pulsating, Creeping, and Erupting Solitons in Dissipative Systems journal, October 2000

Instability Versus Equilibrium Propagation of a Laser Beam in Plasma journal, June 2004

Interactions between two-dimensional solitons in the diffractive–diffusive Ginzburg–Landau equation with the cubic–quintic nonlinearity journal, July 2009

Probability Distribution Functions for the Random Forced Burgers Equation journal, March 1997

Evidence for Universal Four-Body States Tied to an Efimov Trimer journal, April 2009

Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar journal, November 1995

Non-Gaussian statistics of multiple filamentation journal, January 2010

Kolmogorov Spectra of Turbulence I: Wave Turbulence book, January 1992

Hard soliton excitation regime: Stability investigation journal, July 1999

Turbulence: The Legacy of A. N. Kolmogorov book, January 1996

Transition between Weak and Strong Turbulence Observed in Complex Ginzburg-Landau Equation with a Quintic Nonlinearity journal, May 1992

Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension journal, January 1999

Dark solitons as quasiparticles in trapped condensates journal, May 2006

Dissipative solitons in normal-dispersion fiber lasers journal, February 2008

Collapse of solitary waves near the transition from supercritical to subcritical bifurcations journal, August 2008

Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation journal, June 1992

Nonlinear Schr�dinger equations and sharp interpolation estimates journal, December 1983

Statistics and Structures of Strong Turbulence in a Complex Ginzburg-Landau Equation journal, May 1992

Construction of higher order symplectic integrators journal, November 1990

On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case journal, April 1979

Local structure of the self-focusing singularity of the nonlinear Schrödinger equation journal, September 1988

Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension journal, October 1988

Collapse in a forced three-dimensional nonlinear Schrödinger equation
journal, October 2000

Nonlinearity management in a dispersion-managed system
journal, January 2002

Pattern formation outside of equilibrium
journal, July 1993

Pulsating, Creeping, and Erupting Solitons in Dissipative Systems
journal, October 2000

Instability Versus Equilibrium Propagation of a Laser Beam in Plasma
journal, June 2004

Interactions between two-dimensional solitons in the diffractive–diffusive Ginzburg–Landau equation with the cubic–quintic nonlinearity
journal, July 2009

Probability Distribution Functions for the Random Forced Burgers Equation
journal, March 1997

Evidence for Universal Four-Body States Tied to an Efimov Trimer
journal, April 2009

Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar
journal, November 1995

Non-Gaussian statistics of multiple filamentation
journal, January 2010

Kolmogorov Spectra of Turbulence I: Wave Turbulence
book, January 1992

Hard soliton excitation regime: Stability investigation
journal, July 1999

Turbulence: The Legacy of A. N. Kolmogorov
book, January 1996

Transition between Weak and Strong Turbulence Observed in Complex Ginzburg-Landau Equation with a Quintic Nonlinearity
journal, May 1992

Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
journal, January 1999

Dark solitons as quasiparticles in trapped condensates
journal, May 2006

Dissipative solitons in normal-dispersion fiber lasers
journal, February 2008

Collapse of solitary waves near the transition from supercritical to subcritical bifurcations
journal, August 2008

Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
journal, June 1992

Nonlinear Schr�dinger equations and sharp interpolation estimates
journal, December 1983

Statistics and Structures of Strong Turbulence in a Complex Ginzburg-Landau Equation
journal, May 1992

Construction of higher order symplectic integrators
journal, November 1990

On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
journal, April 1979

Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
journal, September 1988

Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension
journal, October 1988