论文标题
在不均匀的光学波导中生成和控制超短相似的孤子和流氓波
Generation and controlling of ultrashort self-similar solitons and rogue waves in inhomogeneous optical waveguide
论文作者
论文摘要
我们通过与恒定的sasa-sassuma和hirota方程相关的相似性转换，描述了锥形波导放大器中的超短束传播的广义高级非线性schrodinger方程的精确明亮，深色和流氓孤子溶液。我们的精确分析需要追索权，以结合适当的增益函数来识别允许的锥度曲线，这对应于PT对称波导。我们扩展了分析，以研究锥形曲线和高阶项对自相似波的演变的影响，从而使人们能够控制自相似的波浪结构和动力学行为。
We present exact bright, dark and rogue soliton solutions of generalized higherorder nonlinear Schrodinger equation, describing the ultrashort beam propagation in tapered waveguide amplifier, via a similarity transformation connected with the constant-coefficient Sasa-Satsuma and Hirota equations. Our exact analysis takes recourse to identify the allowed tapering profile in conjunction with appropriate gain function which corresponds to PT-symmetric waveguide. We extend our analysis to study the effect of tapering profiles and higher-order terms on the evolution of self-similar waves and thus enabling one to control the self-similar wave structure and dynamical behavior.
