Eur. Phys. J. D (2014) 68: 69
https://doi.org/10.1140/epjd/e2014-40681-x

Regular Article

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

^a e-mail: zhp63521@126.com

Received: 1 November 2013
Received in final form: 22 December 2013
Published online: 27 March 2014

Abstract

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, 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.