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

• 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
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2014-40681-x

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.