Two-dimensional accessible solitons in PT-symmetric potentials Academic Article

abstract

• Two-dimensional parity-time (PT) symmetric potentials are introduced, which allow the existence of spatial solitons in the model of the strongly nonlocal nonlinear Schrdinger equation. Two-dimensional accessible solitons are found in the form of solutions separating the radial amplitude, given in terms of Laguerre polynomials, a phase function involving quadratic, linear, and constant phase shifts, and a specific azimuthal modulation function. Shape-preserving solitons are constructed from Laguerre-Gaussian functions containing the self-similar variable and an exponential form of the azimuthal modulation, containing sine and cosine functions, when a suitable PT-symmetric potential is chosen. Interesting soliton profiles and the corresponding PT-symmetric potentials are displayed for different values of the parameters. Springer Science+Business Media B.V. 2012.

authors

• Belic, Milivoj
• Huang, Tingwen

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

• Zhong, W., Belic, M. R., & Huang, T.

citation count

• 69

complete list of authors

• Zhong, Wei-Ping||Belic, Milivoj R||Huang, Tingwen

publication date

• November 2012

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Accessible Solitons
• Parity-time Symmetric Potentials
• Strongly Nonlocal Nonlinear Media

Digital Object Identifier (DOI)

• 10.1007/s11071-012-0594-9

start page

• 2027

end page

• 2034

volume

• 70

issue

• 3

URL

• http://dx.doi.org/10.1007/s11071-012-0594-9