Accessible solitons of fractional dimension Academic Article uri icon

abstract

  • © 2016 Elsevier Inc. We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

author list (cited authors)

  • Zhong, W., Belić, M., & Zhang, Y.

citation count

  • 34

publication date

  • May 2016