Modulation instability and solitons on a cw background in an optical fiber with higher-order effects.
We construct the Lax pair for a higher-order nonlinear Schrödinger equation that includes terms accounting for the third-order dispersion, the self-steepening effect, and the delayed nonlinear response effect. Two exact analytic solutions that describe (i) modulation instability and (ii) soliton propagation on a continuous wave background are obtained by using the Darboux transformation. In addition, we analyze the amplification-absorption and quintic nonlinearity effects on the second solution in the adiabatic approximation.
Xu
Zhiyong
Z
Department of Electronics and Information Technology, Shanxi University, Taiyuan 030006, China. xuzy@mail.sxu.edu.cn
Li
Lu
L
Li
Zhonghao
Z
Zhou
Guosheng
G