Soliton solutions in nonlocal nonlinear coupler

We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark soliton are found, and many kinds of antisymmetric, symmetric and asym...

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Bibliographic Details
Published in:Nonlinear dynamics 2017-04, Vol.88 (1), p.489-501
Main Authors: Dang, Ya-Lin, Li, Hui-Jun, Lin, Ji
Format: Article
Language:English
Subjects:
Automotive Engineering
Brightening
Classical Mechanics
Control
Couplers
Coupling coefficients
Dipoles
Dynamical Systems
Energy flow
Engineering
Mechanical Engineering
Nonlinearity
Numerical analysis
Numerical methods
Original Paper
Parameters
Perturbation methods
Solitary waves
Stability
Vibration
White noise
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Summary:We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark soliton are found, and many kinds of antisymmetric, symmetric and asymmetric solitons can be obtained by adjusting the nonlinear parameters or coupling coefficients. In addition, the stability of the exact bright solitary wave solutions and dipole-mode solitary wave solutions with the white noise perturbation are also investigated numerically. It is investigated that the energy flow and the Hamiltonian, and the energy flow are related to the nonlocal parameter. Moreover, We also obtain some Airy-like solitons by numerical method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3255-6