Eur. Phys. J. D (2013) 67: 225
https://doi.org/10.1140/epjd/e2013-40187-1

Regular Article

The solitons in Bessel lattice potential with nonlocal nonlinearity

Department of physics, Guangdong University of Petrochemical Technology, Maoming 525000, P.R. China

^a e-mail: sumeihu@163.com

Received: 2 April 2013
Received in final form: 9 July 2013
Published online: 1 November 2013

Abstract

The existence and stability of fundamental and multipole solitons in Bessel potential are studied, including linear case, and nonlocal nonlinearity cases. For linear case, the eigenvalues and eigenfunction for different modulated depths of Bessel potential are obtained numerically. For nonlocal nonlinear cases, the existence and stability of fundamental and multipole solitons are studied. The results show that there exists a critical propagation constant b_c of solitons, below which the solitons vanish. The value of b_c is associated with the eigenvalue for linear case. It is found that nonlocality can expand the stability region of solitons. Fundamental and dipole solitons are stable in the whole region and the stable range of multipole solitons increase with increasing of the nonlocal degree.