Controllability for two-Kuznetsov-Ma solitons in a (2 + 1)-dimensional graded-index grating waveguide

We study a (2 + 1)-dimensional nonlinear Schrödinger equation in an inhomogeneous graded-index grating waveguide, and obtain an exact two-breather solution for certain functional relations. Two-Kuznetsov-Ma solitons can be constructed by selecting suitable parameters in this exact two-breather solut...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2014-03, Vol.68 (3), Article 69
Main Authors: Zhu, Hai-Ping, Pan, Zhen-Huan, Fang, Jian-Ping
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Molecular
Nonlinear dynamics and nonlinear dynamical systems
Nonlinear optics
Optical and Plasma Physics
Optical solitons
nonlinear guided waves
Optics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Regular Article
Solitons
Spectroscopy/Spectrometry
Spintronics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:We study a (2 + 1)-dimensional nonlinear Schrödinger equation in an inhomogeneous graded-index grating waveguide, and obtain an exact two-breather solution for certain functional relations. Two-Kuznetsov-Ma solitons can be constructed by selecting suitable parameters in this exact two-breather solution. Moreover, we can change the propagation type of two-Kuznetsov-Ma solitons by modulating the relation between the maximum effective propagation distance, Z m , and the effective propagation distance, Z 0 , based on the center of the two-Kuznetsov-Ma solitons. The controllability for the type of excitation such as partial excitation, sustainment and limitation of the two-Kuznetsov-Ma solitons is demonstrated.
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2014-40681-x