Bright discrete solitons in spatially modulated DNLS systems

Kevrekidis, P. G.; Horne, R. L.; Whitaker, N.; Hoq, Q. E.; Kip, D.

doi:10.1088/1751-8113/48/34/345201

Title: Bright discrete solitons in spatially modulated DNLS systems

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Abstract

In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum limit of vanishing coupling as the starting point of our analysis, enabling in this way a systematic characterization of the branches of solutions. Our stability findings and bifurcation characteristics reveal the enhanced robustness and wider existence intervals of solutions with a broader support, culminating in the 'extended' solution in which all sites are excited. Our eigenvalue predictions are corroborated by numerical linear stability analysis. In conclusion, the dynamics also reveal a tendency of the solution profiles to broaden, in line with the above findings. These results pave the way for further explorations of such states in discrete systems, including in higher dimensional settings.

Authors:

Kevrekidis, P. G. ^[1]; Horne, R. L. ^[2]; Whitaker, N. ^[3]; Hoq, Q. E. ^[4]; Kip, D. ^[5]

Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Morehouse College, Atlanta, GA (United States)
Univ. of Massachusetts, Amherst, MA (United States)
Western New England Univ., Springfield, MA (United States)
Helmut Schmidt Univ., Hamburg (Germany)

Publication Date:: Tue Aug 04 00:00:00 EDT 2015

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1233288

Report Number(s):: LA-UR-15-20281
Journal ID: ISSN 1751-8113

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. A, Mathematical and Theoretical

Additional Journal Information:: Journal Volume: 48; Journal Issue: 34; Journal ID: ISSN 1751-8113

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Kevrekidis, P. G., Horne, R. L., Whitaker, N., Hoq, Q. E., and Kip, D. Bright discrete solitons in spatially modulated DNLS systems.  United States: N. p., 2015. 
Web.  doi:10.1088/1751-8113/48/34/345201.

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                    Kevrekidis, P. G., Horne, R. L., Whitaker, N., Hoq, Q. E., & Kip, D. Bright discrete solitons in spatially modulated DNLS systems.  United States.  https://doi.org/10.1088/1751-8113/48/34/345201

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                    Kevrekidis, P. G., Horne, R. L., Whitaker, N., Hoq, Q. E., and Kip, D. Tue .  
"Bright discrete solitons in spatially modulated DNLS systems".  United States.  https://doi.org/10.1088/1751-8113/48/34/345201.  https://www.osti.gov/servlets/purl/1233288.

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@article{osti_1233288,

  title        = {Bright discrete solitons in spatially modulated DNLS systems},

  author       = {Kevrekidis, P. G. and Horne, R. L. and Whitaker, N. and Hoq, Q. E. and Kip, D.},

  abstractNote = {In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum limit of vanishing coupling as the starting point of our analysis, enabling in this way a systematic characterization of the branches of solutions. Our stability findings and bifurcation characteristics reveal the enhanced robustness and wider existence intervals of solutions with a broader support, culminating in the 'extended' solution in which all sites are excited. Our eigenvalue predictions are corroborated by numerical linear stability analysis. In conclusion, the dynamics also reveal a tendency of the solution profiles to broaden, in line with the above findings. These results pave the way for further explorations of such states in discrete systems, including in higher dimensional settings.},

  doi          = {10.1088/1751-8113/48/34/345201},

  journal      = {Journal of Physics. A, Mathematical and Theoretical},

  number       = 34,

  volume       = 48,

  place        = {United States},

  year         = {Tue Aug 04 00:00:00 EDT 2015},

  month        = {Tue Aug 04 00:00:00 EDT 2015}

}

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