https://doi.org/10.1140/epjd/e2010-00156-x
Accessible solitary wave families of the generalized nonlocal nonlinear Schrödinger equation
1
Department of Electronic Engineering, Shunde Polytechnic, Guangdong Province, Shunde, 528300, P.R. China
2
Texas A & M University at Qatar, 23874 Doha, Qatar
3
Department of Applied Physics, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
Corresponding author: a zhongwp5@126.com
Received:
19
January
2010
Revised:
25
March
2010
Published online:
11
June
2010
Two-dimensional accessible solitary wave families of the generalized nonlocal nonlinear Schrödinger equation are obtained by utilizing superpositions of various single accessible solitary solutions. Specific values of soliton parameters are selected as initial conditions and the superposition of known single solitary solutions in the highly nonlocal regime are launched into the nonlocal nonlinear medium with a Gaussian response function, to obtain novel numerical solitary solutions of improved stability. Our results reveal that in nonlocal media with the Gaussian response the higher-order spatial accessible solitary families can exist in various forms, such as asymmetric necklace, asymmetric fractional, and symmetric multipolar necklace solitons.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010
