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Anisotropic subdiffractive solitons

Author

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  • Herrero, Ramon
  • Barashenkov, I.V.
  • Alexeeva, N.V.
  • Staliunas, Kestutis

Abstract

We study solitons in the two-dimensional defocusing nonlinear Schrödinger equation with the spatio-temporal modulation of the external potential. The spatial modulation is due to a square lattice; the resulting macroscopic diffraction is rotationally symmetric in the long-wavelength limit but becomes anisotropic for shorter wavelengths. Anisotropic solitons–solitons with the square (x,y)-geometry – are obtained both in the original nonlinear Schrödinger model and in its averaged amplitude equation.

Suggested Citation

  • Herrero, Ramon & Barashenkov, I.V. & Alexeeva, N.V. & Staliunas, Kestutis, 2011. "Anisotropic subdiffractive solitons," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1070-1074.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:12:p:1070-1074
    DOI: 10.1016/j.chaos.2011.08.010
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    Cited by:

    1. María Ramos, 2014. "Context fractal market price policy," Revista de Economía y Administración, Universidad Autónoma de Occidente, September.

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