Controllability for two-Kuznetsov-Ma solitons in a (2 + 1)-dimensional graded-index grating waveguide
School of Science, Zhejiang Lishui University, Lishui, Zhejiang 323000, P.R. China
Received: 1 November 2013
Received in final form: 22 December 2013
Published online: 27 March 2014
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, Zm, and the effective propagation distance, Z0, 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.
Key words: Optical Phenomena and Photonics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014