Accessible solitons of fractional dimension Academic Article

abstract

• 2016 Elsevier Inc. We demonstrate that accessible solitons described by an extended Schrdinger 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.

published proceedings

• ANNALS OF PHYSICS

author list (cited authors)

• Zhong, W., Belic, M., & Zhang, Y.

citation count

• 54

complete list of authors

• Zhong, Wei-Ping||Belić, Milivoj||Zhang, Yiqi

publication date

• May 2016

publisher

• Elsevier  Publisher

published in

• ANNALS OF PHYSICS  Journal

keywords

• Fraction-dimensional Schrodinger Equation
• Self-similar Method
• Strongly Nonlocal Nonlinear Media

Digital Object Identifier (DOI)

• 10.1016/j.aop.2016.02.007

start page

• 110

end page

• 116

volume

• 368

URL

• http://dx.doi.org/10.1016/j.aop.2016.02.007