He Jingsong, Xu Shuwei, Porsezian K
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P.R. China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec;86(6 Pt 2):066603. doi: 10.1103/PhysRevE.86.066603. Epub 2012 Dec 18.
The rogue waves in a resonant erbium-doped fiber system governed by a coupled system of the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) are given explicitly by a Taylor series expansion about the breather solutions of the normalized slowly varying amplitude of the complex field envelope E, polarization p, and population inversion η. The n-order breather solutions of the three fields are constructed using a Darboux transformation (DT) by assuming periodic seed solutions. Moreover, the n-order rogue waves are given by determinant forms with n+3 free parameters. Furthermore, the possible connection between our rouge waves and the generation of supercontinuum generation is discussed.
由非线性薛定谔方程和麦克斯韦-布洛赫方程（NLS-MB方程）耦合系统控制的共振掺铒光纤系统中的 rogue 波，通过对复场包络E、极化p和粒子数反转η的归一化慢变振幅的呼吸子解进行泰勒级数展开来明确给出。通过假设周期种子解，利用达布变换（DT）构造了这三个场的n阶呼吸子解。此外，n阶 rogue 波由具有n + 3个自由参数的行列式形式给出。此外，还讨论了我们的 rogue 波与超连续谱产生之间可能的联系。
